Carl is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be 12 feet long. What expression could she write to determine the perimeter of the triangle if S represents the length of the shortest side? (Recall that perimeter is the distance around a shape)

Question

Raine

Mathematics

1 March, 15:33

Carl is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be 12 feet long. What expression could she write to determine the perimeter of the triangle if S represents the length of the shortest side? (Recall that perimeter is the distance around a shape)

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Lorena Simon · Answer 1

S = length of shortest side

"the length of the longest side to be three more than twice as long as the length of the shortest side"

The length of the longest side is: 2S + 3

The length of the third side is 12 ft.

perimeter = sum of the lengths of the three sides

perimeter = S + 2S + 3 + 12

perimeter = 3S + 15

Answer: 3S + 15