Asemicircle and a quarter circle are attached to the sides of a rectangle as shown. what is the area of this figure? use 3.14 for pi. enter your answer in the box. round only your final answer to the nearest whole number.

109 cm^2

Step-by-step explanation:

We will find the area of the semi circle at the bottom.

The diameter is 12 so the radius is 6

A semicircle is 1/2 of a circle so it has 1/2 the area

A = pi r^2

A semicircle = 1/2 pi r^2

                     = 1/2 *pi *6^2

                    = 1/2 *3.14 *36

                    = 56.52

Next is the strip

It  is rectangular with length 12 and width 2

A = l*w = 2*12 = 24

Finally we have the quarter circle

A quarter = 1/4  of the area of a circle

The radius is 6

A quarter = 1/4 pi  r^2

                =1/4 pi *6^2

                 = 1/4 *3.14 *36

                 = 28.26

Sum the areas together

A semi circle + A rectangle * A quarter circle

56.52 + 24+ 28.26

108.78 cm^2

Rounding  to the nearest whole number

109 cm^2

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step-by-step explanation:

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