Question

The area of a rectangular room is 238 square feet. The width is 3 feet less than the length. What are the dimensions?

Answer 1

rectangular area = width * length = 238 ft²

width = length - 3

consider length = x

width = x -3

238 = x *(x-3)

238 = x²-3x

x²-3x-238=0

(x-17)(x+14)

x = - 14 we dont use it because dimensions cant be negative

x = 17

length = 17 ft

width = 14 ft