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

9514 1404 393

Answer:

  32x ft²

Step-by-step 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