Question

Jalisa needs to purchase a cover for her oval shaped pool.The pools length and width measurements,as marked by dotted lines are 26 feet and 10 feet.If jalisa wants the pool cover to the extend one foot from the pools edge,as shown in the drawing what will be the area of the rectangular pool cover?

Answer 1

the area of the cover will be

`933.17ft^(2)`

Explanation:

This problem bothers on the mensuration of flat shapes. oval/ellipse

the area of the ellipse is
`A=a*b* \pi`.

Since we are multiplying two units of length together, our answer will be in units squared.

also the oval/ ellipse has to radius major and minor radius

Given data

minor radius = a= 10 feet

major radius= b= 26 feet

furthermore we want the cover to extend 1 feet

hence

minor radius = a= 11 feet

major radius= b= 27 feet

`A=a*b* \pi`

`A=11*27* \ 3.142`

`A=11*27* \ 3.142\\A= 933.17 ft^(2)`