Asked by PPOP
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.
Find the area of the Sandbox.
Answers
Answered by
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.
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.