Question

task #11: area and perimeter of irregular shapes
find the area and perimeter of each of the following shapes.
1.
7ft
4ft
3ft
5ft
perimeter =
area =
2.
6 mm
12 mm
perimeter =
area =

Explanation:

Step1: Find perimeter of first shape

Perimeter is sum of all side - lengths.
$7 + 4+(7 - 5)+3+5+(4 + 3)=7 + 4+2+3+5+7 = 28$ ft

Step2: Find area of first shape

Split into two rectangles. Area of first rectangle is $7\times4 = 28$ square - ft, area of second rectangle is $5\times3=15$ square - ft. Total area is $28 + 15=43$ square - ft

Step3: Find perimeter of second shape

Count all outer side - lengths. Since it's a regular - like irregular shape with equal segments marked, perimeter is $6\times4+12\times2=24 + 24 = 48$ mm

Step4: Find area of second shape

Split into two rectangles. One rectangle has dimensions $6\times12$ and the other also has dimensions $6\times12$. Total area is $6\times12+6\times12 = 72+72 = 144$ square - mm

Answer:

1. Perimeter = 28 ft, Area = 43 square - ft
2. Perimeter = 48 mm, Area = 144 square - mm