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
220 cm2
220 cm squared
240 cm2
240 cm squared
480 cm2
480 cm squared
460 cm2
The correct answer is 240 cm^2.
To find the area of the quadrilateral, we need to split it into two triangles. The base of both triangles is 20 cm, and the height of each triangle is 10 cm. Thus, the area of each triangle is (1/2) * base * height = (1/2) * 20 cm * 10 cm = 100 cm^2. Since there are two triangles in the quadrilateral, the total area is 2 * 100 cm^2 = 200 cm^2.