Question

quadrilateral ABCD is a trapezoid, ad=15, ab=50, bc=20 and height is 12. What is the area of the trapezoid

Answer 1

Answer:

If you draw altitudes from A and B to C D,the trapezoid will be divided into two right triangles and a rectangle. You can find the values of a and b with the Pythagorean theorem.

a = √15^2-12^2 = √81 = 9

b = √20^2-12^2 = √256 = 16

A B Y X is a rectangle so XY = AB = 50 .

C D = a + XY + b = 9 + 50 + 16 = 75

The area of the trapezoid is

12 . (50+75)/2 = 6(125) = (D) 750

Step-by-step explanation:

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