Question

the figures below are similar. the labeled sides are corresponding.
2.7 ft
1.1 ft
p₁ = 13.5 ft
p₂ = ?
what is the perimeter of the smaller triangle?
p₂ = feet

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{1.1}{2.7}$

Step2: Relate perimeters to ratio

$P_2 = P_1 \times \text{Ratio}$
$P_2 = 13.5 \times \frac{1.1}{2.7}$

Step3: Calculate the perimeter

$P_2 = \frac{13.5 \times 1.1}{2.7} = 5 \times 1.1 = 5.5$

Answer:

5.5 feet