A backyard pool has a concrete walkway around it that is 5' wide on all sides the total area of the pool and the walkway is 950'

Question

2 years ago

15

at the length of the pool is 8' longer than the width find the dimensions of the pool

1 answer:

Soloha48 [4] · Answer 1 · 2023-09-01T02:23:26+03:00

The dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

<h3>How to determine the dimension</h3>

For the pool, we have that;

Let the width = x feet

Length = (x+8) feet

The pool alongside the walkway gives;

Width = x + 5 + 5 = (x + 10) feet

Length = x + 8 + 5 + 5 = (x + 18) feet

Total area of the pool with walkway = 950 square feet

Note that formula for area is given as

Area = length * width = 950

Equate the length and width

(x+18) × (x + 10) = 950

Using the FOIL method, we have;

(x × x )+ (x × 10) + (18 × x) + (18 × 10) = 950

x² + 10x + 18x + 180 -950 = 0

collect like terms

x² + 28x - 770 = 0

Thus, the dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

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