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The area of an interactive whiteboard is 3000 square inches, and its perimeter is 220 inches. find the dimensions of the whiteboard.

User Freedrull
by
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2 Answers

2 votes

Answer:

Explanation:

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User Rafael Augusto
by
5.3k points
7 votes

Answer:

50, 60, 50, and 60

Explanation:

xy = 3000

2x + 2y = 220

Rewrite the second equation

y = -x + 110

Substitute this into the first equation.

x(-x + 110) = 3000

-x^2 + 110x - 3000

Divide by -1

x^2 - 110x + 3000

(x - 60) (x - 50)

x = 60, 50

When x = 60, y = 50 and vice versa, so the sides are 50, 60, 50, and 60.

User David Leitner
by
5.7k points
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