SOLUTION: 10. 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 cos

Question 863389: 10. 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.

pool is width x+3 length is 3x-4
deck is width 3x-2 length is 2x+6

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
10. 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.
pool is width x+3 length is 3x-4
deck is width 3x-2 length is 2x+6
:
We should be able to find x, the difference between the deck width and the pool width should equal the difference between the deck length and pool length
width (3x-2) - (x+3) = (2x-5)
length (2x+6) - (3x-4) = (-x+10)
therefore
2x - 5 = -x + 10
2x + x = 10 + 5
3x = 15
x = 5
:
Find the overall dimensions and the deck dimensions, replace x with 5
Deck: 13 by 16 an area of 208
Pool: 8 by 11 an area of 88
then
208 - 88 = 120 sq/ft is 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.
120 * 4.75 = $570.00

RELATED QUESTIONS
Please answer this question: You have a pool that measures 8 yards by 10 yards. You... (answered by checkley77)

Sam has a 15 by 25 rectangular pool. He wants to pour a concrete deck of uniform width... (answered by lmeeks54)

You have a pool that measure 15 yards by 10 yards. You want to build a deck around... (answered by richwmiller)

You have a pool that measure 15 yards by 10 yards. You want to build a deck around all... (answered by josgarithmetic)

franks pool measures 20 feet by 40 feet. frank has decided to surround his pool with a... (answered by Solver92311,ankor@dixie-net.com)

You just had a pool installed that has dimensions 10 feet by 24 feet by 4 feet. You want... (answered by josgarithmetic,ikleyn)

You just had a pool installed that has dimensions 10 feet by 24 feet by 4 feet. You want... (answered by jorel1380,ankor@dixie-net.com,MathTherapy)

A swimming pool is the shape of a rectangle with two semicircles attached to each end.... (answered by ankor@dixie-net.com)

A rectangular pool measures 10m by 5m. A deck, of uniform width, is to be built all the... (answered by ptaylor)