Question

1.3 i can find the perimeter of similar figures. find the value of the perimeter of the larger figure given that they are similar. be sure to include units in your answer. write proportion here perimeter: 14 ft perimeter: 1.4 i can find the area of similar. find the value of the area. similar. be sure to include units to the nearest tenth

Explanation:

Step1: Set up the proportion

For similar figures, the ratio of corresponding - side lengths is equal to the ratio of perimeters. Let the perimeter of the smaller figure be $P_1 = 14$ ft, the corresponding - side length of the smaller figure be $s_1 = 8$ ft, the corresponding - side length of the larger figure be $s_2 = 12$ ft, and the perimeter of the larger figure be $P_2$. The proportion is $\frac{s_1}{s_2}=\frac{P_1}{P_2}$, so $\frac{8}{12}=\frac{14}{P_2}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{8}{12}=\frac{14}{P_2}$ gives us $8\times P_2=12\times14$.

Step3: Solve for $P_2$

First, calculate $12\times14 = 168$. Then, we have the equation $8P_2 = 168$. Divide both sides of the equation by 8: $P_2=\frac{168}{8}=21$ ft.

Answer:

$21$ ft