SOLUTION: A square has the same perimeter as a triangle whose sides are consecutive even integers, the smallest of which is the same length as the side of the square. What is the perimeter o
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Question 335028: A square has the same perimeter as a triangle whose sides are consecutive even integers, the smallest of which is the same length as the side of the square. What is the perimeter of the square? Answer by solver91311(24713) (Show Source):
Let represent the measure of the length of one side of the square and the measure of the shortest side of the triangle. The other two sides of the triangle, being consecutive even integers, are and .
The perimeter of the square is . The perimeter of the triangle is . And the two perimeters are equal, so:
Solve for to get the measure of a side of the square, and multiply that by 4 to get the perimeter.
John
My calculator said it, I believe it, that settles it
