Question

Find the area of a composite shape below:

Answer 1

To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together. Be sure than none of the simpler figures have overlapping areas. Example 1: Find the area of the composite shape shown below.

Step-by-step explanation:

Answer 2

The total area of both the triangle and rectangle in the given figure is 63 cm²

Step-by-step explanation:

To find the area of the triangle and rectangle in the given figure, we can use the formulas for calculating the area of each shape.

1. Triangle:

The area of a triangle is given by the formula:

Area = 1/2 * base * height

In the given figure, the base of the triangle is 6 cm and the height is 5 cm (as given in the hint).

Using the formula, we can calculate the area of the triangle as:

Area = 1/2 * 6 cm * 5 cm = 15 cm²

2. Rectangle:

The area of a rectangle is given by the formula:

Area = length * width

In the given figure, the length of the rectangle is 8 cm and the width is 6 cm (as given in the hint).

Using the formula, we can calculate the area of the rectangle as:

Area = 8 cm * 6 cm = 48 cm^2

To find the total area of both shapes, we add the areas of the triangle and rectangle together:

• Total Area = Area of Triangle + Area of Rectangle
• Total Area = 15 cm² + 48 cm² = 63 cm²

Therefore, the total area of both the triangle and rectangle in the given figure is 63 cm²