Question

Find the perimeter of the shaded region of this composite figure .You can use 3.14 for pi.llAlso round the answer to the nearest hundreth.

Answer 1

18.58 m

Step-by-step explanation

We need to find the perimeter of the shaded region of the figure.

The figure is made up of a rectangle with the cut out of a semi-circle, so, to find the perimeter, we will subtract the perimeter of the semi-circle (without the diameter) from that of the rectangle.

The perimeter of the rectangle is:

P = 2(L + B)

where L = length = 8 m

B = breadth = 6 m

So, the perimeter of the rectangle is:

P = 2(8 + 6) = 2 * 14

P = 28 m

The perimeter (circumference) of the semi-circle (without the diameter) is:

C = π * R

where R = radius of the semicircle

The diameter is 6 m, so the radius is:

R = D / 2 = 6 / 2 = 3 m

So, the circumference of the semicircle is:

C = 3.14 * 3

C = 9.42 m

So, the perimeter of the composite figure is:

P = 28 - 9.42

P = 18.58 m

That is the answer.