A patio has an area of 432 square feet. The width of the patio is 3/4 its length. What is the length of the patio?

Question

My grandson is having difficulty with his math and I am not able to assist him

Answer 1

area=length*width

A=l*w

l=length

(3/4)l=width

A=l*w

432=(l)*(3/4)l

432=(3/4)*l²

multiply both sides by 4/3

(4/3)(432)=(4/3)(3/4)(l²)

576=l²

take the square root of both sides

√576=√l²

24=l

l=24 feet for the length

(3/4)(24)=18 feet for the width

check: 432=24*18=432