Question

9. You are installing a swimming pool. Write a polynomial that represents the area of the walkway

8 ft width of the pool
(6x-4) ft length (of the pool)
(2x + 6) ft length of the Walk way
10x ft width of the Walk way
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Answer 1

(10x² +12x +32) ft²

Explanation:

The area of the walkway around the pool is the difference between the area of the entire rectangle, and the area of the pool. The area of each rectangle is found by multiplying its length and width.

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Overall area:

((2x +6) ft) × (10x) ft = (10x² +60x) ft²

Pool area:

((6x -4) ft) × (8 ft) = (48x -32) ft²

Walkway area:

overall area - pool area = ((10x² +60x) ft²) -((48x -32) ft²)

= (10x² +12x +32) ft²