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find the perimeter of the figure. the perimeter is feet. (simplify your…

Question

find the perimeter of the figure. the perimeter is feet. (simplify your answer.)

Explanation:

Step1: Identify side - lengths

The side - lengths of the figure are 4a, 4a, 4a, 4a, 12, 12, 9a.

Step2: Sum up side - lengths

$P=(4a + 4a+4a + 4a)+(12 + 12)+9a$.

Step3: Combine like - terms

$P=(4 + 4+4 + 4)a+24 + 9a=16a+24 + 9a$.

Step4: Simplify further

$P=(16a+9a)+24=25a + 24$.

Answer:

$25a + 24$