A 35​- by 22​-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 448 ft2​, how wide is the​ walkway?

Question

I was just wondering what this is

Answer 1

Draw and label a diagram!

w represents the width of the sidewalk

The dimensions of the pool and the walkway are (35 + 2w) by (22 + 2w)

This are is (35 + 2w)(22 + 2w)

The area of the pool is (35)(22)

The area of the walk way is 

(35 + 2w)(22 + 2w) - (35)(22) = 448

 

Can you solve for w and answer?