Find the perimeter of the figure to the nearest hundredth.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

4 0

Answer:

60.00 in^2

Step-by-step explanation:

First focus on the area ABOVE the dotted line. The shape here is that of a trapezoid. The two leg lengths are 12 in and 18 in (18 in is the diameter). At the far right of this trapezoid we can picture a triangle of base 3 in, height h and hypotenuse 5 in. Using the Pythagorean Theorem, we get h = 4 in.

This 4 in measurement is the width of the trapezoid. Thus, we are now ready to apply the formula for the area of a trapezoid: A = (average length of legs)*(width).

Here that area comes out to

12 in + 18 in

A = --------------------- * 4 in = 15 in*4in = 60 in^2, or (to the nearest hundredth)

2 60.00 in^2

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