Area of Triangles and Trapezoids

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = (1/2) * base * height.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: Area = (1/2) * (base1 + base2) * height.

Front

If a triangle has a base of 10 ft and a height of 5 ft, what is its area?

Back

Area = (1/2) * 10 ft * 5 ft = 25 ft².

Front

Calculate the area of a trapezoid with bases of 8 m and 12 m, and a height of 4 m.

Back

Area = (1/2) * (8 m + 12 m) * 4 m = 40 m².

Front

What is the area of a triangle with a base of 6 cm and a height of 9 cm?

Back

Area = (1/2) * 6 cm * 9 cm = 27 cm².

Front

How do you find the height of a triangle if you know the area and the base?

Back

Rearrange the area formula: height = (2 * Area) / base.

Front

What is the area of a trapezoid with bases of 5 ft and 15 ft, and a height of 3 ft?

Back

Area = (1/2) * (5 ft + 15 ft) * 3 ft = 30 ft².

Front

If the area of a triangle is 36 m² and the base is 12 m, what is the height?

Back

Height = (2 * Area) / base = (2 * 36 m²) / 12 m = 6 m.

Front

What is the significance of the bases in a trapezoid?

Back

The bases are the two parallel sides of the trapezoid, which are used in the area formula.

Front

How does changing the height of a triangle affect its area?

Back

Increasing the height while keeping the base constant increases the area of the triangle.