Question

The company installing the new in-ground pool in your backyard has provided You with a scale drawing shown below. If the drawing uses a scale of 1 inch to 1 3/4 feet, calculate the total amount of two-dimensional space needed for the pool and its surrounding patio.

Answer 1

The total amount of two-dimensional space needed for the pool and its surrounding is 780 feet².

Explanation:

Consider the provided information.

The drawing uses a scale of 1 inch to 1 3/4 feet.

Now consider the figure shown.

The length and Width of the rectangle is
`22(2)/(7)` inch and
`11(3)/(7)` inch.

`22(2)/(7)=(156)/(7)`

`11(3)/(7)=(80)/(7)`

First convert the length and width from inches to feet.

`1\ inch=1(3)/(4)\ feet`

`1\ inch=(7)/(4)\ feet`

Multiply both the sides by
`(156)/(7)`

`(156)/(7)\ inch=(156)/(7)* (7)/(4)\ feet`

`(156)/(7)\ inch=39\ feet`

Now convert
`(80)/(7)` into feet.

`(80)/(7)\ inch=(80)/(7)* (7)/(4)\ feet`

`(80)/(7)\ inch=20\ feet`

Now find the area of rectangle using the formula.
`A=l* w`

`A=39* 20`

`A=780`

Hence, the total amount of two-dimensional space needed for the pool and its surrounding is 780 feet².