Area of Triangles, Trapezoids, and Parallelograms

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( A = \frac{1}{2} \times base \times height \).

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: \( A = \frac{1}{2} \times (base_1 + base_2) \times height \) where base_1 and base_2 are the lengths of the two parallel sides.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is given by the formula: \( A = base \times height \).

Front

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

Back

The area is \( A = \frac{1}{2} \times 10 \times 5 = 25 \) units².

Front

If a trapezoid has bases of 8 ft and 12 ft, and a height of 5 ft, what is the area?

Back

The area is \( A = \frac{1}{2} \times (8 + 12) \times 5 = 50 \) ft².

Front

What is the height of a triangle if the area is 30 units² and the base is 10 units?

Back

Using the formula \( A = \frac{1}{2} \times base \times height \), the height is \( height = \frac{2 \times 30}{10} = 6 \) units.

Front

What is the height of a parallelogram if the area is 40 units² and the base is 8 units?

Back

Using the formula \( A = base \times height \), the height is \( height = \frac{40}{8} = 5 \) units.

Front

If a trapezoid has an area of 36 units², base_1 of 6 units, and base_2 of 10 units, what is the height?

Back

Using the formula \( A = \frac{1}{2} \times (base_1 + base_2) \times height \), the height is \( height = \frac{36 \times 2}{6 + 10} = 4.5 \) units.

Front

What is the area of a triangle with a base of 14 meters and a height of 4 meters?

Back

The area is \( A = \frac{1}{2} \times 14 \times 4 = 28 \) meters².

Front

What is the area of a parallelogram with a base of 12 units and a height of 7 units?

Back

The area is \( A = 12 \times 7 = 84 \) units².