The perimeter of a college basketball court is 78 meters and the length is twice as long as the width. What are the length and width?

Question

The perimeter of a college basketball court is 78 meters and the length is twice as long as the width. What are the length and​ width?

Caroline Aucoin · Accepted Answer

Length = #26# metres
Width = #13# metres

To Make things easier, Let's assume the width of the basketball court to be #x# metres. Now, The Question says, The Length is twice as long as the width. So, The Length of the basketball court = #2x# metres. Now, We Know, #"Perimeter of a Rectangular Field" = 2 ("Length" + "Width")# So, According to the question, #color(white)(xxx) 2(2x + x) = 78# #rArr 2 xx 3x = 78# #rArr 6x = 78# #rArr x = 13# So, The Width of the Basketball Court is #13# metres. So, The Length of the Basketball Court is #2 xx 13# metres = #26# metres. Hope this helps.

Avery Allen · Answer

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

Given that the perimeter of the court is 78 meters, we can set up an equation for the perimeter:

$$ 2(w + 2w) = 78 $$

Now, solve for $ w $:

$$ 2(3w) = 78 $$
$$ 6w = 78 $$
$$ w = \frac{78}{6} $$
$$ w = 13 $$

So, the width of the basketball court is 13 meters.

Now, we can find the length:

$$ \text{Length} = 2w = 2 \times 13 = 26 $$

Therefore, the length of the basketball court is 26 meters.

The perimeter of a college basketball court is 78 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 78 meters and the length is twice as long as the width. What are the length and width?