Question

7.4.PS-6

Answer 1

Answer:

The area of the given polygon is:

• 232 cm^2

Step-by-step explanation:

To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:

• Area of a rectangle = Base * height

Now, we're gonna replace the measurements in the formula.

First rectangle:

• Area of a rectangle = 3 cm * 14 cm
• Area of a rectangle = 42 cm^2

Second rectangle:

• Area of a rectangle = 5 cm * 14 cm
• Area of a rectangle = 70 cm^2

Third rectangle:

• Area of a rectangle = 12 cm * 10 cm
• Area of a rectangle = 120 cm^2

By last, we must add the area of the rectangles:

• Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2
• Area of the polygon = 232 cm^2

As you can see, the area of the polygon in the picture is 232 cm^2.