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The perimeter of the rectangle shown below is 52 inches. The perimeter of the triangle shown below is 40 inches.

The perimeter of the rectangle shown below is 52 inches. The perimeter of the triangle-example-1
User KevinD
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1 Answer

3 votes

Answer: x = 2, y = 6

Explanation:

For the rectangle:
x + 4y + x + 4y = 52

2x + 8y = 52

2x = 52 - 8y

x = (52 - 8y)/2

For the triangle:
3y + 3y + 2x = 40

6y + 2((52 - 8y)/2) = 40

6y + (52 - 8y) = 40

-2y = -12

y = 6

x = (52 - 8y)/2

x = (52 - 8(6))/2

x = (52 - 48)/2

x = 4/2

x = 2

User CocoHot
by
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