Question

The perimeter of a basket ball court is 108 m and the length is 6 m long than twice the width. What are the length and the width?

Answer 1

38 is the correct awnser

Answer 2

Let's say

P = perimeter, L : Length and w : width

Then

$P=2(L+w)=2L+2w=108$

But 

$L=6+2w$

So

$2L+2w=108\\2(6+2w)+2w=108\\12+4w+2w=108\\12+6w=108\\6w=108-12\\6w=96\\w=16$

$L=6+2w\\L=6+2(16)\\L=6+32\\L=38$

We verify :

$2L+2w=108\\2(38)+2(16)=108\\76+32=108\\108=108$

Length = L = 38
Width = w = 16