Finding 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 simple shape, and then sum those areas.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = 1/2 × base × height.

Front

What is the formula for the area of a circle?

Back

The area of a circle is calculated using the formula: Area = π × radius².

Front

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

Back

Area = 10 × 5 = 50 square units.

Front

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

Back

Area = 1/2 × 8 × 5 = 20 square units.

Front

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

Back

Area = π × 3² ≈ 28.27 square units.

Front

How do you find the area of a shaded region in a composite shape?

Back

To find the area of a shaded region, calculate the area of the entire shape and subtract the area of the unshaded part.

Front

What is the area of a composite figure made of a rectangle (length 6, width 4) and a triangle (base 4, height 3)?

Back

Area = (6 × 4) + (1/2 × 4 × 3) = 24 + 6 = 30 square units.