To find the area of the quadrilateral, we need to find the area of the trapezoid and the area of the right triangle, and then add them together.
Area of trapezoid = (1/2) * (sum of parallel sides) * (height)
Area of trapezoid = (1/2) * (4 + 6) * 5 = 5 * 5 = 25 cm2
Area of right triangle = (1/2) * base * height
Area of right triangle = (1/2) * 4 * 3 = 6 cm2
Total area of quadrilateral = 25 + 6 = 31 cm2
So, the correct answer is not provided. The closest answer is 30 cm2, but the actual area is 31 cm2.
Area of Special Quadrilaterals Quick Check
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Question
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.
60 cm2
54 cm2
30 cm2
24 cm2
use the answers provided
1 answer
1 answer