Area of Composite Shapes-ALL

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, circles, etc.

Front

How do you calculate the area of a composite shape?

Back

To calculate the area of a composite shape, divide it into simpler shapes, calculate the area of each, 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 6 cm and a height of 4 cm, what is its area?

Back

Area = 1/2 × 6 cm × 4 cm = 12 cm².

Front

What is the area of a composite shape made of a rectangle (5 cm by 3 cm) and a triangle (base 3 cm, height 2 cm)?

Back

Area = (5 cm × 3 cm) + (1/2 × 3 cm × 2 cm) = 15 cm².

Front

What is the area of a shaded region in a composite shape?

Back

The area of a shaded region is found by calculating the total area of the shape and subtracting the area of the unshaded parts.

Front

What is the significance of units in area calculations?

Back

Units in area calculations indicate the measurement of space, and must be squared (e.g., cm², ft²) to reflect two-dimensional space.