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.
(1 point)
Responses
60 cm2
60 cm squared
54 cm2
54 cm squared
24 cm2
24 cm squared
30 cm2
To find the area of the quadrilateral, we need to find the area of the trapezoid and subtract the area of the right triangle at the bottom.
Area of trapezoid = (1/2) * (sum of parallel sides) * (height)
Area of trapezoid = (1/2) * (6 + 9) * 4
Area of trapezoid = 7.5 * 4
Area of trapezoid = 30 cm²
Area of right triangle = (1/2) * base * height
Area of right triangle = (1/2) * 6 * 4
Area of right triangle = 12 cm²
Area of quadrilateral = Area of trapezoid - Area of right triangle
Area of quadrilateral = 30 cm² - 12 cm²
Area of quadrilateral = 18 cm²
Therefore, the area of the quadrilateral is 18 cm².