Question

In order to swim one mile in a rectangular pool, I must swim the length of the pool 80 times or swim all the way around the perimeter of the pool 22 times. How wide is the pool? (1 mile = 5,280feet)

so would I take 5280 divided by 80 for a total of 66 then subtract 22 from the 66 and that's the width of the pool?

Answer 1

let the length and width be represented by l and w
"80 times the length equals 1 mile" --->
80l=5280
l = 5280/80 = 66

so your first part was right.

perimeter = 2l + 2w

22(2l+2w) = 5280
2l + 2w = 240
l + w = 120, but l=66
66+w = 120
w = 54