Question

The area of a rectangular tennis court is 140 square meters. It’s length is 6 meters less than twice it’s width. Find the dimensions of the tennis court

Answer 1

Let the width be : x
length : (2x - 6)

(2x - 6) (x) = 2x square - 6x

2x square - 6x = 140
2x square - 6x - 140 = 0

if you use the cross method or calculator you’ll get :

( x - 10 ) ( x + 7) = 0

x = 10 or x = -7 ( reject because negative )
so we use x = 10.

width = 10
length = 2(10) - 6 = 14