Use the image to answer the question.
An illustration shows a trapezoid with top side as 4 centimeters, and the left as the longest side of 9 centimeters. The opposite parallel side on the right is 6 centimeters. A diagonal bottom side is 5 centimeters. The top side is perpendicular to the left and right sides as denoted by right two angle symbols. A perpendicular dotted line from the bottom right vertex to the left side is drawn. The dotted line makes one right angle symbol with right side and two right angle symbols with the left side. It forms a right triangle at the bottom of the trapezoid, with the 5 centimeter side as the hypotenuse.
Find the area of the quadrilateral. Pick one from below
(1 point)
Responses
30 cm2
30 cm squared
54 cm2
54 cm squared
24 cm2
24 cm squared
60 cm2
60 cm squared
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The area of the quadrilateral is 30 cm squared.
To find the area, we can split the trapezoid into a rectangle and a right triangle. The rectangle has a base of 4 cm and a height of 9 cm, so its area is 4 cm * 9 cm = 36 cm squared.
The right triangle has a base of 4 cm and a height of 6 cm, so its area is 0.5 * 4 cm * 6 cm = 12 cm squared.
Thus, the total area of the quadrilateral is 36 cm squared + 12 cm squared = 48 cm squared.