Question

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third

side is 13 feet more than the length of the shortest side. Find the dimensions if the perimeter is 157 feet.

Answer 1

The triangle has sides of 36 feet, 72 feet, and 49 feet.

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x = shortest side

2x = second side

x+13 = third side

The three sides add up to the perimeter of 157

(x)+(2x)+(x+13) = 157

4x+13 = 157

4x = 157-13

4x = 144

x = 144/4

x = 36

The shortest side is 36 feet.

The second side is 2x = 2*36 = 72 feet.

The third side is x+13 = 36+13 = 49 feet.

Check:

side1+side2+side3 = 36+72+49 = 157

The answers are confirmed.