Question

Given the following values, find the perimeter of the figure shown below:

AB = 7 cm, BC = 3 cm, CD = 1 cm, DE = 2 cm, EF = 3 cm, and FG = 1 cm.
Do not include "cm" with your response.

Answer 1

26

Explanation:

First, split the figure into 3 rectangles and label the sides so that it is easier to work with.

Then you have to find the unknown values: HG and AH.

HG: Since AB=7 and AB is the longest horizontal side; we know that HG+EF+CD=AB=7. Plugging in the known values: HG+3+1=7 => HG+4=7. Therefore, HG=3 because 3+4=7.

AH: BC and FG are the corresponding sides to AH so AH+FG=BC. Plugging in the known values: AH+1=3. Therefore, AH is 2 because 2+1=3.

Now you have to use the perimeter of rectangle formula which is P=2(L+w) for the 3 rectangles.

Rectangle 1: 2(3+2)=10

Rectangle 2: 2(3+1)=8

Rectangle 3: 2(3+1)=8

Add them all up to find the total perimeter: 10+8+8=26.