This figure was broken into a triangle and a rectangle as shown.

Use the figures to complete the statements

The height of the triangle h is __ cm

The area of the triangle is __ cm

The area of the rectangle is __ cm

The area of the irregular figure is __ cm

The height of the triangle is 8 centimeters.

The area of the rectangle is 48 square centimeters.

The area of the rectangle is 216 square centimeters.

The area of the irregular figure is 264 square centimeters.

Step-by-step explanation:

The height of the triangle is the total height of the figure minus the height of the rectangle, that is:

The height of the triangle is 8 centimeters.

The area of the triangle (), measured in square centimeters, is determined by the following formula:

(1)

Where:

- Base of the triangle, measured in centimeters.

- Height of the triangle, measured in centimeters.

If we know that and , then the area of the triangle is:

The area of the rectangle is 48 square centimeters.

The area of the rectangle (), measured in square centimeters, is determined by the following formula:

(2)

Where is the height of the rectangle, measured in centimeters.

If we know that and , then the area of the rectangle is:

The area of the rectangle is 216 square centimeters.

The area of the irregular figure is the sum of the areas of the rectangle and the triangle. Then, the area of the irregular figure is 264 square centimeters.

you need to show the graph

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