the length and the width of the playing alley.

Question

The remains of an ancient ball court include a rectangular playing alley with a perimeter of about 108 m. The length of the alley is five times the width.Find the length and the width of the playing alley.

Answer 1

P = 108 = 2(L+W) = 2(5W+W) = 2(6W)=12W

12W = 108

W = 108/12 = 26/3 = 8 2/3 m

L = 5(26/3) =130/3 = 45 1/3 m

2(45 1/3 + 8 2/3)

=2(54)

=108