Question

Find the perimeter of the figure to the nearest hundredth.

Answer 1

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