Enter the correct answer in the box.

y = -x² + 60x + 256 in²

Explanation:

Before we begin, remember the following:

yᵃ × yᵇ = yᵃ⁺ᵇ

Now, for the given problem:

We know that the area of the rectangle is the product of its dimensions (length and width)

This means that:

Area of rectangle = length × width

Now, we are given that:

length of game board = x+4 in

width of game board = -x+64 in

Substitute with the givens in the rule it as follows:

Area of rectangle = length × width

Area of board game = (x+4)(-x+64)

Use the distributive property, compute the product and gather like terms as follows:

Area of board game = (x+4)(-x+64)

Area of board game = x(-x) + x(64) +4(-x) +4(64)

Area of board game = -x² + 64x - 4x + 256

Area of board game = -x² + 60x + 256 in²

Hope this helps :)