Area of Composite Shapes

Front

What is a composite shape?

Back

A composite shape is a figure that is made up of two or more simple shapes, such as rectangles, triangles, and circles.

Front

How do you find the area of a composite shape?

Back

To find the area of a composite shape, divide it into simpler shapes, calculate the area of each shape, and then sum those areas.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

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 circle?

Back

Area = π × radius².

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what is its area?

Back

Area = 10 cm × 5 cm = 50 cm².

Front

If a triangle has a base of 8 cm and a height of 5 cm, what is its area?

Back

Area = 1/2 × 8 cm × 5 cm = 20 cm².

Front

What is the area of a circle with a radius of 3 cm?

Back

Area = π × (3 cm)² ≈ 28.27 cm².

Front

What is the area of a composite shape made of a rectangle (4 cm by 6 cm) and a triangle (base 4 cm, height 3 cm)?

Back

Area = (4 cm × 6 cm) + (1/2 × 4 cm × 3 cm) = 24 cm² + 6 cm² = 30 cm².

Front

What is the area of a garden that is a rectangle measuring 10 m by 4 m?

Back

Area = 10 m × 4 m = 40 m².