Use the image to answer the question.
An illustration shows a trapezoid with parallel sides on the top and bottom. The top side is 24 centimeters and bottom side is 20 centimeters. Two perpendicular dotted lines of 10 centimeters are drawn from the bottom vertices to the top side. The two perpendicular lines are denoted by 4 right angle symbols.
What is the area of the quadrilateral?
(1 point)
Responses
460 cm2
460 cm squared
240 cm2
240 cm squared
480 cm2
480 cm squared
220 cm2
220 cm squared
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To find the area of the quadrilateral, we can split it into two triangles and a rectangle.
The area of the rectangle on the bottom is 20 cm * 10 cm = 200 cm^2.
The area of one of the triangles is (1/2) * 10 cm * 24 cm = 120 cm^2. Since there are two triangles, their combined area is 240 cm^2.
Therefore, the total area of the quadrilateral is 200 cm^2 (rectangle) + 240 cm^2 (triangles) = 440 cm^2.
So the closest answer is 460 cm^2.