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
240 cm2
240 cm squared
480 cm2
480 cm squared
460 cm2
460 cm squared
220 cm2
220 cm squared
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The area of the quadrilateral is 240 cm2.
To find the area of a trapezoid, you can use the formula: Area = (a + b) * h / 2, where a and b are the lengths of the parallel sides and h is the height.
In this case, the lengths of the parallel sides are 24 cm and 20 cm, and the height is 10 cm (given by the perpendicular lines from the bottom to the top side).
Plugging the values into the formula: Area = (24 + 20) * 10 / 2 = 44 * 10 / 2 = 440 / 2 = 220 cm2.
Therefore, the correct answer is 220 cm2.