Area of Compound Figures
Rectangles and Parallelograms
Area and Perimeter
Formulas
100
What is the area of the shape?
31.5
100
A parallelogram has a base of 4ft and an area of 24 ft2. What is its height?
6
100
Each side of a square piece of sheet metal is 5 meters long. What is the sheet metal's area?
25 m2
100
Area of a triangle
1/2 bh OR bh/2
200
What is the area of this shape?
15
200
A parallelogram has a base of 13.6 mm and and area of 108.8 mm2? What is its height?
8 mm
200
A rectangular portrait has an area of 35 square feet. Its perimeter is 24 feet. What are the dimensions of the portrait?
7 ft x 5 ft
200
Area of a parallelogram
bh
300
What is the area of the shape?
42
300
One side of a square is 10 inches long. What is its area?
100
300
A rectangular ink pad has an area of 28 square centimeters and a perimeter of 22 centimeters. What are the dimensions of the ink pad?
7cm x 4cm
300
Area of a trapezoid?
1/2h(b1+b2)
400
What is the area of the shape?
106
400
A rectangular sheet of metal has an area of 135 square inches. Its perimeter is 48 inches. What are the dimensions of the sheet?
9 in x 15 in
400
A rectangular cutting board has a perimeter of 78 inches and an area of 350 square inches. What are the dimensions of the cutting board?
14 in X 25 in
400
Why do we multiply the area of a triangle by 1/2?
The area of a triangle is 1/2 of a rectangle with same base and height.
500
What is the area of the shape?
61
500
What is the area?
32
500
A soccer field has an area of 4,968 square meters and a perimeter of 292 meters. What are the dimensions of the field?
54m x 92m
500
How do we find the area of a compound figure?
Find the area of each shape then add all the areas.