41. The base lengths of isosceles trapezoid ABCD shown below are in centimeters and E is on AB. What is the ratio of the area of ABCD to the area of △AED?

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation

If the height of the trapezoid (also the height of the triangle) is x, then the area of ​​the trapezoid is (40+60)x÷2 = 50x. The base of the triangle is (60-40)÷2 = 10, and the area of ​​the triangle is 10x÷2 = 5x. The ratio is 10:1.