Question

identifying components of an expression
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.)
s+(2s + 3)+12
what is the expression in simplified form?
s+(2s + 3)+12
s + 2s+12
s+(2s + 3)
3s
what is the coefficient of the variable in the simplified expression?

Explanation:

Step1: Remove parentheses

The expression for the perimeter is $s+(2s + 3)+12$. By the associative and commutative properties of addition, we can remove the parentheses: $s+2s + 3+12$.

Step2: Combine like - terms

Combine the $s$ terms ($s+2s=3s$) and the constant terms ($3 + 12=15$). The simplified expression is $3s+15$.

Answer:

$3s + 15$