Question

100 POINTS PLEASE HURRY

The image of a composite figure is shown.

A four-sided shape with the bottom side labeled as 17.4 yards. The height is labeled 6 yards. A portion of the top side from the perpendicular to right vertex is labeled 2.1 yards. The portion of the top from the perpendicular to the left vertex is 15.3 yards.

What is the area of the figure?

91.8 yd2
104.4 yd2
117 yd2
219.24 yd2

Answer 1

104.4

Explanation:

Answer 2

The height divides the shape into 2 parts : a trapezoid and a right-angled triangle.

A(trapezoid) = [(a+b)h]/2, where a;b;h are the length, width and height respectively.

-> A(trapezoid) = [(15.3+17.4) x 6]/2 = 98.1 (yd2)

A(triangle) = lh/2, where l is the base.

-> A(triangle) = 2.1 x 6 : 2 = 6.3 (yd2)

So, the area of the figure is 98.1 + 6.3 = 104.4 (yd2)