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
|
|
|
