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lorasvet [3.4K]
3 years ago
7

Enter the correct answer in the box.

Mathematics
1 answer:
guapka [62]3 years ago
5 0

<u><em>Answer:</em></u>

y = -x² + 60x + 256 in²

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following:</u>

yᵃ × yᵇ = yᵃ⁺ᵇ

<u>Now, for the given problem:</u>

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

<u>This means that:</u>

Area of rectangle = length × width

<u>Now, we are given that:</u>

length of game board = x+4 in

width of game board = -x+64 in

<u>Substitute with the givens in the rule it as follows: </u>

Area of rectangle = length × width

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

<u>Use the distributive property, compute the product and gather like terms as follows:</u>

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 :)

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