Question

Find the appropriate perimeter of the figure below

Answer 1

The perimeter of the figure is 55.7in.

Explanation:

The best way to do this is to break up the figure into 2 separate pieces (the rectangle and the semi circle).

The perimeter of the rectangle is pretty simple. You just add up all of the sides

10+10+15+15=50

The perimeter of the rectangle is 50

The circle part is a little more complicated but still not too difficult. To find the perimeter of a circle you just multiply the diameter by pi.

π10

31.4

However, you only need half of that so divide it by 2.

31.2/2=15.7

To finish this problem you just have to add up the 2 sections.

15.7+50=65.7

However, the 2 shapes share a side that is not on the outside of the total figure (the one labeled 10 inches). So, just subtract that from your total.

65.7-10=55.7

The perimeter of the figure is 55.7in.

Answer 2

55.7 in.

Explanation:

I assume the figure is a rectangle and a half circle.

The three sides of the rectangle that need to be added toward the perimeter measure 15 in., 10 in., and 15 in.

Then you need the circumference of the half circle which has a 10-inch diameter.

circumference = (pi)d

circumference = 3.14 * 10 in. = 31.4 in.

We only need half the circumference, so we have 31.4 in./2 = 15.7 in.

Now we add the three sides of the rectangle listed above and the circumference of the half circle.

perimeter = 15 in. + 10 in. + 15 in. + 15.7 in.

perimeter = 55.7 in.