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iren2701 [21]
3 years ago
12

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.
Mathematics
2 answers:
mrs_skeptik [129]3 years ago
6 0

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

belka [17]3 years ago
3 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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