Question

The length of a rectangle is 7 m less than three times the width, and the area of a rectangle is 66 m^2. find the dimensions of the rectangle.

Answer 1

length =11m

width =6m

Explanation:

let the w = x

L = 3x-7

area =L*w

66 = (3x-7)*x

66 =
`3x^(2) -7x`

`3x^(2) -7x-66=0`

`3x^(2) -18x+11x-66=0`

3x(x-6)+11(x-6)=0

(3x+11)(x-6)=0

x-6=0

x=6

recall,

L = 3x-7 =3*6-7=11