Question

10 points!!! ASAP PLEASE HELP FIND THE AREA AND THE PERIMETER!!

Answer 1

Area = 559.17 square feet

Perimeter = 94.26 ft

Explanation:

Make sure all the units are the same and consistent.

r = radius of semi-circle

=
`(Diameter)/(2)`

=
`(18)/(2)` ft

= 9 ft

Area of composite figure = Area of rectangle + Area of semi-circle:

= [Length × Breadth] + [
`(1)/(2)` × (Area of circle)]
= [24 ft × 18 ft] + [
`(1)/(2)` × (
`\pi r^(2)`)]

= 432
`ft^(2)` + [
`(1)/(2)` × (
`\pi 9^(2)`)]
`ft^(2)`

= 432 + [
`(1)/(2)` × (3.14) ×(81)]

= 559.17
`ft^(2)`

Perimeter of composite figure =

Circumference of semi-circle + 3 outer sides of rectangle:

= [
`(1)/(2)` ×
`2\pi r`] + [24 + 18 + 24]

= (
`\pi r` + 66) ft

= [(3.14)(9) + 66] ft

= 94.26 ft