Answer:
y = -x² + 60x + 256 in²
Step-by-step 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 :)