Question

A square patio has a side length of (x − 8) feet. It is surrounded by a flower garden with a uniform width. The side length of the entire square area including the patio and the flower garden is (x + 8) feet. Enter an expression for the area of the flower garden.

Answer 1

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Answer:

32x ft²

Explanation:

The area of the garden plus patio is ...

(x +8)² = x² +16x +64

The area of the patio is ...

(x -8)² = x² -16x +64

The area of the flower garden is the total area less the patio area:

(x² +16x +64) -(x² -16x +64) = 32x . . . area of the flower garden