Question

Jacob drew the following composite figure

Answer 1

Answer:

The area of the composite figure = 978 in²

Step-by-step explanation:

The question is as shown in the attached figure.

And it is required the area of the composite figure

As shown the figure consists of :

1. Rectangle with dimensions of 24 in and 30 in
2. Two right triangle of base 12 in and height of 9 in
3. A right triangle of base 15 in and height of 20 in.

so, The area of rectangle = 24 * 30 = 720 in²

The are of the 2 triangles = 2 * 0.5 * 12 * 9 = 108 in²

The area of the third triangle = 0.5 * 15 * 20 = 150 in²

So, the total area = 720 + 108 + 150 = 978 in²

Note: The area of the rectangle = width * length

Area of the right triangle = 0.5 * base * height