Question

Hutchinson Square is an urban park in downtown Summerville, South Carolina. Suppose the park is hosting a spring carnival and one of the events will be a treasure hunt. The hunt takes place in a large sandbox. The length of the sandbox in inches, G(x), can be represented by the expression (2x + 5) and the width of the sandbox in inches, H(X) can be represented by the expression (x - 4)

Find the area of the Sandbox.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of the sandbox, we need to multiply the length (G(x)) by the width (H(x)).

The length is (2x + 5) and the width is (x - 4), so the area (A) is:

A = (2x + 5)(x - 4)

Now we can distribute:
A = 2x * x + 2x * (-4) + 5 * x + 5 * (-4)
A = 2x^2 - 8x + 5x - 20
A = 2x^2 - 3x - 20

So, the area of the sandbox is 2x^2 - 3x - 20.