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{ = }\frac{108,900}{43,560}\text{ acre}$$\text{ = 2.5 acres}$

Therefore, the size of the lot in acres is 2.5