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How long is the perimeter of a basketball court

the perimeter of a basketball court is 282 ft the length is 41 ft longer than the width find the dimensions of the court

Math Word Problem

Graham F.

asked 06/19/15

the perimeter of a basketball court is 282 ft the length is 41 ft longer than the width find the dimensions of the court

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By: BestNewestOldest

Christine L. answered 06/19/15

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HS Math Teacher and HS/College Tutor specializing in Math & Test Prep

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Perimeter = P = 282

Width = W

Length = L = 41 + W

Set up your equation.

P = 282 = 2L + 2W

Plug in and simplify.

282 = 2*(41 + W) + 2W

282 = 82 + 2W + 2W

282 = 82 + 4W

282 -82 = 82 + 4W - 82

200/4 = 4W/4

W = 50

Plug your value for W in to find L.

L = 41 + 50 = 91

Based on this, you know your court is 91 ft X 50 ft, with Width = 50ft and Length = 91ft

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Desmond J. answered 06/19/15

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This is solved by manipulating the perimeter formula. You know that the length is 41 ft longer than the width, which can be expressed as l=w+41. You also know the value of the perimeter, 282 ft. Plugging this information into the perimeter formula and solving for w:

P=2l+2w

282=2(w+41)+2w

282=2w+82+2w

282=4w+82

200=4w

w=50 ft.

So, the width is 50 ft. With this in mind, plug it back into your length equation and:

l=w+41

l=50+41

l=91

So, the length is 91 ft.

To check, plug these values back into the perimeter formula and you should get the final value given in the problem:

P=2l+2w

P=2(91)+2(50)

P=182+100

P=282

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The perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. What are the length and width?

Math Basketball College Algebra

Steven F.

asked 03/26/19

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Mariah L. answered 04/18/19

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For this you are going to want to put it into an equation. You can have L=length and W=width. The equation for perimeter is Perimeter = L + L + W + W because there are two ends to the court and two sides. In this problem length (L) is 6 meters longer than twice the width (W). This can be translated to:

L = 2W + 6 meters

The next step would be to substitute L in the perimeter equation with what we just did above.

Perimeter = (2W + 6) + (2W + 6) + W + W

You could simplify this by combining like terms:

Perimeter = 2(2W + 6) + 2W

We would then substitute in the information that was given in the problem, that perimeter is 84 feet.

84 = 2(2W + 6) + 2W

And now we would want to distribute the 2 outside the parentheses onto what is inside:

84 = 4W + 12 + 2W

We can now combine the terms with W attached to them.

84 = 6W + 12

Now subtract the 12 from each side.

72 = 6W

Now, to get the W by itself, you would divide the 6W by 6 and the 72 by 6.

12 = W

We just found that the width is 12 meters. Now plug this information into the formula that we found for the length (L) earlier.

L = 2W + 6

L = 2(12) + 6

L = 24 + 6

L = 30

The length is equal to 30 meters.

To check the answers you can put them back into the original perimeter equation.

Perimeter = L + L + W + W

84 = 30 + 30 + 12 + 12

84 = 60 + 24

84 = 84

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Basketball court markings: standards and norms

Author of the article

Khvatkov Dmitry

Consultant in the production of rubber coatings

Basketball field marking requirements are approved by the FIBA standard. The site must be flat with a hard surface, free of bends, cracks and other obstacles. The accepted dimensions of the field are 28 m long and 16 m wide. By NBA standards, the field is slightly larger: 28.7 m (94' ft) long and 15.3 m (50' ft) wide.

Areas not intended for international competitions may differ from accepted standards (for public use, in schools or universities, etc.) and usually vary from 20 to 28 m in length and from 12 to 16 m in width.

Basketball Court Marking Standards

Basketball court markings are conventionally divided into 5 components:

Boundary lines. They are located along the perimeter of the site and set its size. The lines that run along the field are called side lines, and those that are behind the baskets are called front lines.
Central line. Divides the court in half parallel to the front lines.
Central zone. It is a circle and is placed in the middle of the center line, and, accordingly, in the center of the entire field.
Three-point line. It is a semi-ellipse and is located around the shields on both sides of the field. It limits the close range.
Free throw line. It is located in front of the boards parallel to the front line and is limited on the sides by paint lines.

The standard line width is 5 cm. All outlines and lines must be of the same color (usually white) and be clearly visible from anywhere on the court.

Common lines

Common lines are used to limit the playing area of the court. The side lines (along the field) according to FIBA standards should be 28 m long, and the front lines - 16 m. For public areas, deviations from the accepted standards are allowed. Typically, basketball courts in schools or gyms are made from 20 m long and 12 m wide.

Central lines

The center line is parallel to the front and divides the field exactly in half. According to the standards - it should extend beyond the side lines by 15 cm on both sides.

In the middle of the center line there is a circle with a diameter of 3.6 m, which limits the central zone of the field. In this zone, the ball is played at the beginning of the game.

Three-Point Line

Three-Point Lines are located around the backboards on both sides of the field and consist of two straight lines 2.9 long9 m and a semicircle. Straight lines run perpendicular to the front at a distance of 0.9 m from the side lines. Despite the fact that visually the distance from the ring to the side of the three-point line seems to be less than to its central part, the distance from the backboard to any point is 6.75 m.

Penalty lines

Penalty lines limit the nearest area at the backboard. They consist of a trapezoid and a free throw zone.

Despite the name, the "trapezium" is a rectangle (until 2009year it really was a trapezoid), which is located under the shield. Its dimensions are 5.8 meters long and 4.9 meters wide. The shield is located at a distance of 1.575 m from the end line in the middle of the site. In front of the backboard, at a distance of 1.25 m, there is a semicircle that limits the area for picking up the ball.

At a distance of 4.225 meters from the backboard, the trapeze zone ends and the free throw zone begins. It is a semicircle with a diameter of 3.6 m (like the central circle).

Paint zone lines

These lines are serifs on both sides of the trapezoid (parallel to the sidelines). They limit the areas for players who are fighting for the ball during a free throw.

Zones on the basketball field

The basketball court is divided into zones using markings. Each zone has its own specific rules.

Center circle

The center circle is used as a separate kick-off area at the start of the game. One representative from each team stand in a circle from their side and fight for the ball in a jump, after it is dropped by the referee. All players are exclusively on their side of the field, except for one who rebounds on the opponent's side.

Neutral zone

The peculiarity of this zone is that as soon as the player of the attacking team with the ball crosses the center line and is on the side of the opponent, he cannot pass the ball to the player of his team who is on the other side of the field (i.e. behind center line on your side).

Three-point zone

The three-point line limits the near zone of the shot. Hitting the basket from outside the basket brings the team three points. If the throw was made inside the zone, then it brings two points.

Three-second zone

This is the zone in close proximity to the ring. It is called three-second, since the player of the attacking team cannot be in it for more than three seconds. Most balls are thrown in this zone, so when attacking, it provides maximum protection.

Free throw area

In controversial situations, a free throw is provided from this area. The player of the attacking team must score the ball without stepping over the line of the trapezoid. At the same time, the players of both teams are not in the three-second zone. They take up positions along the paint lines on the sides of the trapezoid and may not step outside the lines until the free throw shooter has shot the ball.

How to mark a basketball field?

Basketball field markings, whether it is an international competition court or an open-air amateur field, are best applied using special equipment. This will ensure the long life of the coating, the lines will not clog and will promote fair play.

You can order the marking of a basketball court in Moscow and the Moscow region from Rezkom. We will measure the premises and develop a design project for the field so that it complies with generally accepted rules and is convenient for operation. For more details, you can contact our manager by phone 8-495-64-24-111.

Basketball court - dimensions, markings, area, length, width

Main
sports terms

Danila Chezhin

Basketball is played on small rectangular courts. The small size of the court makes this sport dynamic and rich in events, and therefore extremely attractive to spectators. In this article, we will analyze the main characteristics of a basketball court, talk about what the lines on the floor mean and find out the main differences between European and overseas basketball courts.

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Basketball Court Sizes

High level basketball competitions are played on standard size courts. Moreover, the regulations of the main world organizations are practically the same. In European basketball according to FIBA standards, the dimensions of the basketball court are 28 meters long and 15 meters wide. The standards for the NBA, North America's premier league, are 28.7m by 15.3m.

For low-profile basketball events, such as tournaments for children or youth teams, the requirements are more loyal. Nevertheless, the standards are still provided. The permissible width of the basketball court is from 12 to 16 meters. Length - from 20 to 28.

Basketball backboards and hoops have their own standards. According to the FIBA regulations, the dimensions of the shield are 180 cm in height and 105 in width. In the NBA - 183x107. The rectangle drawn on the shield is 59x45 cm. The diameter of the ring is 450 millimeters. The distance from the hoop to the parquet is 3 m and 5 cm.

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Court markings

A basketball court is not just a field of certain dimensions. The rules of the game are formed by markings applied to the parquet. The main ones can be called - the central and pairs of side and front lines.

The central axis divides the court in half - into attack and defense zones. The team that has possession of the ball according to the rules of basketball must cross the center line in a maximum of 8 seconds, and having crossed, has no right to return back. Otherwise, a violation of the zone rule will be recorded - one of the key rules of the game of basketball.
The center circle is where the game starts. In the center of the circle, the starting throw-in of the ball is made. The referee throws the projectile up, and two basketball players opposing each other try to kick the ball with their hand in the air, addressing it to one of the teammates standing on the circle.
Side and end lines - the perimeter of the playing space. During the game, they cannot be crossed. Due to the boundary lines, the ball is also put into play after any stoppage.

Another group of lines outlines the throwing zones. A large semicircle on each half of the court is a three-point arc. Each accurate hit because of it brings 3 points to the team's piggy bank. Any accurate shot from the game from its limits - 2 points. An accurate hit from the free throw line is worth 1 point. Penalty attempts are made from a static position and with the playing time stopped.

Free throw line - base of the trapezoid. The space inside the trapezoid is called the three-second zone or "paint" because its coloring is usually different from the rest of the parquet. Inside the trapezoid, another designation is a semicircle. Inside it, no offensive fouls are called.

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Differences between NBA and FIBA courts

American and European courts, as already mentioned, are slightly different in size. But not only. The layout of the basketball court also varies in places. For example, the distance of a three-point arc from the rim in the NBA is 7.24 meters at the point of maximum radius. According to FIBA rules, this distance is 6.71 meters.

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