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Expressions in One Variable

Question 2 • EAP-Algebra I A

Clara 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 twelve 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.) | What is the expression in simplified form? | What is the coefficient of the variable in the simplified expression?

Answer
A
3s + 12
B
3s + 15
C
3s + 3
D
3s

Explanation

The shortest side is s, and the longest side is 2s + 3. Add those lengths and the third side, 12, to get the perimeter: s + (2s + 3) + 12 = 3s + 15. The simplified expression is 3s + 15, and the coefficient of s is 3, so the correct choice is B, 3s + 15.

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