Composite Figures

Front

What is a composite figure?

Back

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

Front

How do you find the area of a triangle?

Back

Area = \frac{1}{2} \times \text{base} \times \text{height}.

Front

What is the formula for the area of a trapezoid?

Back

Area = \frac{1}{2} \times (b_1 + b_2) \times h, where b_1 and b_2 are the lengths of the two bases and h is the height.

Front

How do you find the area of a rectangle?

Back

Area = \text{length} \times \text{width}.

Front

What is the first step to find the area of a composite figure?

Back

Break the composite figure into simpler shapes.

Front

What do you do after finding the area of each simple shape in a composite figure?

Back

Add the areas of all the simple shapes together.

Front

What is the area of a rectangle with a length of 10 cm and a width of 5 cm?

Back

Area = 10 \times 5 = 50 \text{ cm}^2.

Front

What is the area of a triangle with a base of 8 cm and a height of 5 cm?

Back

Area = \frac{1}{2} \times 8 \times 5 = 20 \text{ cm}^2.

Front

If a trapezoid has bases of 6 cm and 10 cm and a height of 4 cm, what is its area?

Back

Area = \frac{1}{2} \times (6 + 10) \times 4 = 32 \text{ cm}^2.

Front

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

Back

Area = (5 \times 3) + \frac{1}{2} \times 3 \times 2 = 15 \text{ cm}^2.