Jack wants to install a swimming pool that is 12m long and 8m wide. He wants to install a rubberized safety border of uniform width around the pool. The width of the safety border is represented by x and the area of the safety border is 44 m^2.

Question

a) Write an expression in terms of x for the length and width dimensions of the outside safety border.
b) What is the total area of the pool and border?
c) Write a quadratic equation that could be used to calculate the width of the safety border.
d) How wide is the safety border around the pool?

Answer 1

(a) 12+2x and 8+2x
(b) (12+2x)(8+2x)
(c) (12+2x)(8+2x)-12*8
(d) ...