Question

The total area of a checkerboard is 256 square inches.

What is the side length (in inches) of one of the small squares?

Answer 1

The side length of the small squares in inches is 2 inches

Explanation:

Given

Area of checker board = 256 square inches

A regular checker board has 64 small squares in total that means that 256 is the area of all 64 squares. To find the area of one small square, the total area will be divided by 64

So,

`Area\ of\ one\ small\ square = A = (256)/(64)\\= 4\ in^2`

Let s be the side of one small square then

`A = s^2`

Putting A =4

`4 = s^2`

Taking square root on both sides

`√(s^2) = √(4)\\s = 2\ inches`

The side length of the small squares in inches is 2 inches