Question

What is the area of the shape there’s 8 cm 3 cm 2 cm 3 cm 6 cm and 6 cm

Explain how you find the area of the composite shape

Answer 1

To find the area of the composite shape, you will first need to break it down into separate shapes and then add up the areas of those shapes.

In this case, we have a shape that consists of a rectangle (8 cm by 3 cm) and two triangles (2 cm by 3 cm by 6 cm and 6 cm by 6 cm by 3 cm).

First, calculate the area of the rectangle:
Area of a rectangle = length x width
Area of rectangle = 8 cm x 3 cm = 24 cm^2

Next, calculate the area of each triangle using the formula for the area of a triangle:
Area of a triangle = 1/2 x base x height

For the first triangle:
Area of first triangle = 1/2 x 2 cm x 3 cm = 3 cm^2

For the second triangle:
Area of second triangle = 1/2 x 6 cm x 6 cm = 18 cm^2

Now, add up the areas of the rectangle and the two triangles:
Total area = 24 cm^2 + 3 cm^2 + 18 cm^2
Total area = 45 cm^2

Therefore, the area of the composite shape is 45 cm^2.