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A recreational court is five times as long as it is wide. If the perimeter is 390 feet, find the dimensions of the court.

Answer :

The dimension of the court is 162.5 feet × 32.5 feet.

What is a dimension?

The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics. As a result, a line has a dimension of one since a point on it may be specified by a single coordinate, such as the point at 5 on a number line.

Given that a recreational court is five times as long as it is wide.

It means the length of the court is 5 times of its width.

Assume that the width of the court is x.

Then, the length of the court is 5x.

Since the length and the breadth of the court are not the same, thus it is a rectangular shape.

The perimeter of a rectangular shape is 2(length + width)

The perimeter of the court is 2(5x + x) = 2 × 6x = 12x

Given that the perimeter of the court is 390 feet

Therefore,

12x = 390

Divide both sides by 12

x = 390/12

x = 32.5

The width of the court is 32.5 feet.

The length of the court is (32.5 × 5)= 162.5

To learn more about perimeter, click on the below link:

https://brainly.com/question/14627244

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