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sergiy2304 [10]
3 years ago
7

In the diagram below, the perimeter of the triangle is equal to the perimeter of the square. What is the length of a side of the

square?

Mathematics
1 answer:
kondaur [170]3 years ago
3 0

The perimeter of each is the sum of the lengths of its sides.

Triangle Perimeter = 16 + 4x-3 +3x = 7x+13

Square Perimeter = 2x +2x +2x +2x = 8x

If these are equal, you have

7x+13=8x\\\\13=x\qquad \mbox{subtract 7x}\\\\26=2x\qquad \mbox{multiply by 2}

The length of a side of the square is 26 units.

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