Respuesta :

Answer:

The perimeter of the figure is 86.53 meters

Step-by-step 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

[tex]C=\pi r[/tex]

we have

[tex]r=29/2=14.5\ m[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

substitute

[tex]C=(3.14)(14.5)=45.53\ m[/tex]

step 2

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

[tex]20+21=41\ m[/tex]

step 3

Perimeter of the figure

[tex]45.53+41=86.53\ m[/tex]