Question

You buy a square lot that is 330 ft. on each side. What is its size in acres?

Answer 1

Given in the question:

a.) A square lot is 330 ft. on each side.

To be able to determine the size of the lot in acres, let's first recall how many sq. ft. are there in 1 acre.

`\text{ 1 acre = 43,560 ft.}^2`

Step 1: Let's determine the area of the lot.

`\text{ Area = s}^2\text{ ; Formula in getting the area of a square}`

We get,

`\text{ Area = 330}^2`
`\text{ Area = }108,900ft.^2`

Therefore, the area of the lot is 108,900 sq. ft.

Step 2: Let's convert the area in sq. ft. to an acre.

`\text{ 1 acre = 43,560 ft}^2`
`\text{ = 108,900 (ft}^2)\text{ x }\frac{1\text{ acre}}{43,560(ft^2)}`
`\text{ = }(108,900)/(43,560)\text{ acre}`
`\text{ = 2.5 acres}`

Therefore, the size of the lot in acres is 2.5