Question

The length of a rectangle is 5 inches more than its width. The area of the rectangle

is 150 centimeters. Find the dimensions of the rectangle.

Answer 1

it's good to write it out

length = 5 + width

area = 150

width = x

length = 5 + x

area = length * width

so

(5 + x) (x) = 150

5x + x^2 = 150

x^2 + 5x - 150 = 0

following you have to guess what 2 numbers when multiplied male 150 and when added make 5

and they are 15 and 10

(x +15) (x-10)

x = -15

x = 10

so the dimensions are

length = 15

and

width = 10