Formula Recall
What is the formula for the area of a parallelogram?
A = b × h
A parallelogram has an area of 72 cm² and a base of 9 cm. Find the height.
8 cm
A parallelogram has a base of 7 cm and a height of 5 cm. Find the area.
35 cm²
Finn is helping Ms. Abbott build a new fenced play area at the dog park. The play area is shaped like a parallelogram with a base of 15 m and a height of 8 m. How much space is inside the fenced area?
120 m²
What is a composite figure?
A shape made of two or more simpler shapes.
What is the formula for the area of a triangle?
A = (b × h) ÷ 2
A triangle has an area of 84 km² and a base of 12 km. Find the height.
14 km
A triangle has a base of 16 cm and a height of 9 cm. Find the area.
72 cm²
Maya is designing a triangular banner for the school spirit rally. The banner has a base of 18 cm and a height of 12 cm. What is the area of Maya’s banner?
108 cm²
A composite shape is made of a rectangle and triangle. Rectangle: 8 cm × 6 cm. Triangle: base 8 cm, height 4 cm. Find the total area.
64 cm²
Why must the height be in relation to the base?
perpendicular
The area of a parallelogram is 1 560 m² and the height is 24 m. Find the base.
65 m
A parallelogram has a base of 63 cm and a height of 41 cm. Find the area.
2 583 cm²
Ghazal and Ishnoor are creating a community garden shaped like a triangle for science class. The garden has an area of 540 m² and a base of 27 m. What must the height of the garden be?
40 m
A composite figure is made of two rectangles. Rectangle A: 12 cm × 5 cm. Rectangle B: 7 cm × 4 cm. Find the total area.
88 cm²
Explain the difference between the base and height of a shape.
The base is the side used for measurement. The height is the perpendicular distance from the base to the opposite side/vertex.
A triangle has an area of 267 cm² and a height of 12 cm. Find the base.
44.5 cm
A triangle has a base of 36 cm and a height of 48 cm. Find the area.
864 cm²
Ms. Abbott is hanging a giant parallelogram-shaped bulletin board outside the classroom. The board has an area of 2 450 cm² and a height of 35 cm. What is the base length of the bulletin board?
70 cm
The total area of a composite figure is 150 cm². A square in the figure has an area of 81 cm². The remaining shape is a triangle with a base of 9 cm. Find the triangle’s height.
15.3 cm
If a triangle doubles in height but keeps the same base, what happens to the area?
It doubles
A parallelogram has an area of 48.6 cm² and a base of 5.4 cm. Find the height rounded to the nearest tenth.
9.0 cm
A parallelogram has a base of 13.5 cm and a height of 39.7 cm. Find the area rounded to the nearest hundredth.
535.95 cm²
Koa and Haniya are building a triangular sail for their model boat during science class. The sail has an area of 157.5 m² and a base of 15 m. What is the height of the sail?
21 m
A composite shape contains a parallelogram with area 96 cm² and a triangle with area 48 cm². What is the total area?
144 cm²