Use the image to answer the question.

An illustration shows a right trapezoid. The right side measures 4 centimeters, the left side measures 5 centimeters, the top side measures 13 centimeters, and the bottom side measures 16 centimeters. The bottom right and top right vertices form right angles.
Decompose the trapezoid into smaller polygons to help you find the area of the trapezoid. Round the answer to the nearest whole number.

1 answer

To decompose the trapezoid, we can split it into a rectangle and a right triangle.

The rectangle has dimensions 5 cm by 4 cm, so the area of the rectangle is 5 cm * 4 cm = 20 square cm.

The right triangle has base 16 cm and height 5 cm, so the area of the triangle is 1/2 * base * height = 1/2 * 16 cm * 5 cm = 40 square cm.

Adding the area of the rectangle and the area of the triangle:
20 square cm + 40 square cm = 60 square cm.

Therefore, the area of the trapezoid is 60 square cm.
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