A window in Michael's room is the shape of a trapezoid. The bases are 30 inches and 40 inches. The height of the window is 24 inches. Find the area of the window.

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Answer:

The area of the window is of 840 square inches.

Step-by-step explanation:

To find the area of an trapezoid, we need to add the sum of the bases, multiply by the height, and then divide by 2.

Matematically:

[tex]A = \frac{(b_{1} + b_{2})*h}{2}[/tex]

In which [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the bases and h is the height.

In this question:

[tex]b_{1} = 30, b_{2} = 40, h = 24[/tex]

All the measures in inches, so the area is in square inches.

[tex]A = \frac{(30 + 40)*24}{2} = 840[/tex]

The area of the window is of 840 square inches.

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