Question

A rectangle has a length that is 10 less than 3 times the width. If the rectangle has an area of 8 square feet, what is the width of the rectangle? Enter your answer as the correct value, with the correct unit of measurement, like this: 42 meters Be sure to use the correct units from the context of the problem.

Answer 1

a: (8 + 2w)(10 + 2w) = 224

b: 4(w − 3)(w + 12) = 0

Answer 2

Explanation:

let width w=x

length l=3x-10

then area= w*l=x(3x-10)=8

3x²-10x-8=0

3x²-12x+2x-8=0

3x(x-4)+2(x-4)=0

(x-4)(3x+2)=0

x=4,-3/2(rejected)

width=4 feet