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The perimeter of a college basketball court is 96 meters and the length is twice as long as the width. What are the length and width?

Answer 1

Evelyn Arboleda

Length #color(purple)( = 32m, Width = 16m#

Given : Perimeter of college ground #P = 96 m#

Perimeter of a rectangle #P = 2l + 2w = 2(l + w)# where l is the length and w is the width

But #l = 2w# given

#:. 2 (2w + w) = 96#

#2*(3w) = 96#

#6w = 96, w = cancel(96)^color(red)16 / cancel6 = 16 m#

#l = 2w = 2 * 16 = 32 m#

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Answer 2

Evelyn Arboleda

Let's denote the width of the basketball court as (w). Since the length is twice as long as the width, we can express the length as (2w).

The perimeter of a rectangle is given by the formula: (P = 2(l + w)), where (l) is the length and (w) is the width.

Given that the perimeter of the basketball court is 96 meters, we can set up the equation:

[96 = 2(2w + w)]

Now, let's solve for (w):

[96 = 2(3w)] [96 = 6w] [w = \frac{96}{6}] [w = 16]

So, the width of the basketball court is 16 meters.

Now, to find the length, which is twice the width:

[l = 2w] [l = 2(16)] [l = 32]

Thus, the length of the basketball court is 32 meters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

The perimeter of a college basketball court is 96 meters and the length is twice as long as the width. What are the length and​ width?

The perimeter of a college basketball court is 96 meters and the length is twice as long as the width. What are the length and width?