Jen and Jacob want to put a cement deck around their pool. Use the figure below to calculate the area of the deck. If cement costs $4.75 per square foot, how much is the cost of the deck? Round to the nearest hundredth.

Width of pool is x+3
Length of pool is 3x-4

Width of deck is 3x-2
Length of deck is 2x+6

If cement costs $4.75 per square foot, how much is the cost of the deck?

1 answer

area= (2x+6)(3x-2) - (3x-4)(x+3)

= 6 x^2 + 14 x -12 -[ 3x^2 +5 x -12 ]

= 3 x^2 + 9 x

You did not say what x is so

cost = 4.75(x)(3x+9)
= 14.25 (x)(x+3)