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.

Question

Mathematics

Zayne Maddox

2 June, 18:34

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.

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Answers (1)

Know the Answer?

Noe Donaldson · Answer 1

Step-by-step 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