Question

The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth

Answer 1

The perimeter of the figure is 86.53 meters

Explanation:

we know that

The perimeter of the figure is equal to the circumference of a semicircle, plus the sum of the legs of the right triangle

step 1

Find the circumference of a semicircle

The circumference of a semicircle is given by the formula

`C=\pi r`

we have

`r=29/2=14.5\ m` ----> the radius is half the diameter

assume

`\pi =3.14`

substitute

`C=(3.14)(14.5)=45.53\ m`

step 2

The sum of the legs of the right triangle is equal to

`20+21=41\ m`

step 3

Perimeter of the figure

`45.53+41=86.53\ m`