Area of Triangles and Trapezoids

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height

Front

What is the formula for the area of a trapezoid?

Back

Area = 1/2 × (base1 + base2) × height

Front

If the base of a triangle is 10 cm and the height is 5 cm, what is the area?

Back

Area = 1/2 × 10 cm × 5 cm = 25 cm²

Front

A trapezoid has bases of 8 cm and 12 cm, and a height of 4 cm. What is the area?

Back

Area = 1/2 × (8 cm + 12 cm) × 4 cm = 40 cm²

Front

What is the area of a triangle with a base of 6 m and a height of 3 m?

Back

Area = 1/2 × 6 m × 3 m = 9 m²

Front

If a trapezoid has an area of 30 cm² and a height of 5 cm, what is the average length of the bases?

Back

Average base length = Area / height = 30 cm² / 5 cm = 6 cm

Front

What is the area of a triangle with a base of 4 in and a height of 2 in?

Back

Area = 1/2 × 4 in × 2 in = 4 in²

Front

A triangle has an area of 12 cm² and a base of 6 cm. What is the height?

Back

Height = (Area × 2) / base = (12 cm² × 2) / 6 cm = 4 cm

Front

What is the area of a trapezoid with bases of 5 m and 7 m, and a height of 3 m?

Back

Area = 1/2 × (5 m + 7 m) × 3 m = 18 m²

Front

If the area of a triangle is 15 cm² and the height is 5 cm, what is the base?

Back

Base = (Area × 2) / height = (15 cm² × 2) / 5 cm = 6 cm