Trapezoid QRST has two right angles. A 5in. altitude can be drawn dividing QRST into a rectangle and an isosceles right triangle

Question

alexandr402 [8]

3 years ago

11

Trapezoid QRST has two right angles. A 5in. altitude can be drawn dividing QRST into a rectangle and an isosceles right triangle

. The longer side of the rectangle measures 9 in. What is the area of the trapezoid?

Mathematics

1 answer:

iVinArrow [24] · Answer 1 · 2022-07-04T19:16:48+03:00

The area of the trapezoid is 57.5 square inches.

If you draw out the description, you will see that your trapezoid can be divided into a rectangle that is 9 x 5 and an isosceles right triangle with a base of 5 and height of 5.

Just find the areas of both and add them together.

Rectangle:
5 x 9 = 45

Triangle:
0.5 x 5 x 5 = 12.5

45 + 12.5 = 57.5