A backyard pool has a concrete walkway around it that is 5 feet wide on all sides. The total are of the pool and the walkway is 950 feet. If the length of the pool is 6 feet longer than the width, find the dimensions of the pool.
2 answers:
Answer:
Step-by-step explanation:
<u>Pool: </u>
Width = x ft
Length = (x+6) ft
<u>Pool along with walkway: </u>
Width = x + 5 + 5 = (x + 10) ft
Length = x + 6 + 5 + 5 = (x + 16) ft
Total area of the pool with walkway = 950 sq.ft
length * width = 950
(x+16) * (x + 10) = 950
Use FOIL method,
x*x + x *10 + 16*x + 16 *10 = 950
x² + 10x + 16x + 160 -950 = 0 {Add like terms}
x² + 26x - 790 = 0
Answer:
29.4 length and 21.4 width.
Step-by-step explanation:
To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total
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