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
30 cm2
30 cm squared
24 cm2
24 cm squared
60 cm2
60 cm squared
54 cm2
24 cm squared
To find the area of the trapezoid, we can split it into a rectangle and two right triangles. The rectangle has a base of 4 cm and a height of 5 cm, giving an area of 20 cm squared. The right triangles each have bases of 3 cm and heights of 5 cm, giving each of them an area of 3 cm squared. Adding the areas of the rectangle and the two triangles together gives a total area of 20 cm squared + 3 cm squared + 3 cm squared = 24 cm squared.