At what value of x will the area of the walkway equal the area of the pool?

Question

A rectangular pool 12 meters by 8 meters is surrounded by a walkway of width x meters. At what value of x will the area of the walkway equal the area of the pool?

Answer 1

Draw and label of diagram!

x is the width of the sidewalk

The outside dimensions of the walkway are 12 + 2x by 8 + 2x

The total area is (12 + 2x)(8 + 2x)

The total area minus the area of the pool should be equal to the area of the pool

(12 +2x)(8 + 2x) - (12)(8) = (12)(8

Can you solve for x and answer?