What is the area of the trapezoid below?
A right trapezoid is shown.The left side is perpendicular to the bottom and top sides. The top side of the trapezoid is 7 centimeters. The right slanted side is 8 centimeters. A dashed segment connects the top right vertex to the bottom side at a right angle. The distance from the endpoint of the dashed segment to the bottom right vertex is 4 centimeters.
(1 point)
Responses
36Start Root 3 End Root cm²
36 Image with alt text: Start Root 3 End Root cm²
44Start Root 3 End Rootcm²
44 Image with alt text: Start Root 3 End Root cm²
65 cm²
65 cm²
88 cm²
44 cm²
To find the area of a trapezoid, you use the formula: A = 1/2 * (b1 + b2) * h, where b1 and b2 are the lengths of the two parallel sides and h is the height (perpendicular distance between the two bases).
In this case, the top side (b1) is 7 cm, the right slanted side (b2) is 8 cm, and the height is 4 cm.
Using the formula: A = 1/2 * (7 + 8) * 4 = 1/2 * 15 * 4 = 30 * 2 = 60 cm²
Therefore, the area of the trapezoid is 44 cm².