Question

Gotta have this finished in an hour and idk how to do this help

Your parents have finally decided to install an in-ground pool! They come to you for help. They are deciding between a circular pool with a 30-foot diameter and a 16 ft x 40 ft rectangular pool. The circular pool would have a 4-foot walkway all the way around it, and the rectangular pool would have a 3-foot walkway all the way around it. The backyard measures 75 feet by 50 feet.

Calculations for the area of the circular pool with the 4-foot walkway.
Calculations for the area of the rectangular pool with the 3-foot walkway.
Calculations for determining how much grassy area is available with the circular pool.
Calculations for determining how much grassy area is available with the rectangular pool.

Answer 1

`Area_(circle)=\pi r^(2)`

`Area_(circle) = \pi (pool+walkway)^(2)`

`Area_(circle) = \pi ((30)/(2)+4)^(2)`

`Area_(circle) = \pi (19)^(2)`

`Area_(circle) = \pi (19)^(2)=361 \pi \approx 1134.11`


`Area_(rectangle)=lw`

`Area_(rectangle)=(l_(pool)+2(walkway))*(w_(pool)+2(walkway))`

`Area_(rectangle)=(16+2(3))*(40+2(3))`

`Area_(rectangle)=22*46`

`Area_(rectangle)=1012`


`Area_(yard)=lw=75*50=3750`

With round:

`Area_(GrassAvailable)=A_(yard)-A_(circle)`

`Area_(GrassAvailable)=3750-1134.11=2615.89`

With rectangle:

`Area_(GrassAvailable)=A_(yard)-A_(rectangle)`

`Area_(GrassAvailable)=3750-1012=2738`