Question

First find the circumference. Do you need to divided by two? Find X. Then show all work to calculate the composite perimeter.

Answer 1

We are given the radius of the circle =5

then the circumference is given by

`C=2\pi *r`
`C=2\pi *5`
`C=10\pi`

then the cicumference of the semicircle is

`(C)/(2)=(10\pi)/(2)=5\pi`

Now let's find X

given the radius=5

the diameter = 2r = 5*2 = 10 in

then X is given by

`X=4+10+4.5`
`X=18.5`

now the lateral side of the rectangle is given by

12-5= 7 in

then

the composite perimeter is

`P=(C)/(2)+4.5+7+X+7+4`
`P=5\pi+4.5+7+18.5+7+4`
`P=5\pi+41`
`P=56.70\text{ in}`

then the composite perimeter is 56.7 in