Problema Solution
Sienna wants to build a deck around her pool next to her patio. The dimensions of her pool are 10' x 25'. She has enough concrete to make a deck with an area of 816 square feet.
A) how wide is the deck?
B) if she wants to buy a pool cover that extends 2 feet beyond the dimensions of the pool, what should the dimensions of that pool cover be?
Answer provided by our tutors
the dimensions of her pool are 10' x 25'
the are of the pool is 10*25 = 250 ft^2
the area of the deck is 816 ft^2
A)let x be the wide of the deck thus the area of the deck = the total are of the pool and the deck = the are of the pool
816 = (10 + 2x)(25 + 2x) - 10*25
(10 + 2x)(25 + 2x) - 10*25 = 816
by solving the equation we find
x = 8 ft
click here to see the step by step solution of the equation
B) a pool cover that extends 2 feet beyond the dimensions of the pool will have the area of
(10 + 2)*(25 + 2) = 324 ft^2
the cover is a rectangular thus the dimensions of the pool cover will be 12' x 27'.