If the sides of a square are increased by 3 meters, the area becomes 64 meters squared. Find the length of a side of the original square?

A = 4s

64 = 4s
64/4 = 8

I think you can take it from here.

To find the length of a side of the original square, we can start by setting up an equation based on the given information.

Let's assume that the original length of a side of the square is "x" meters.

According to the problem, if the sides of the square are increased by 3 meters, the new length of a side becomes "x + 3" meters.

The area of a square is given by the formula: Area = side length^2.

So, the area of the original square is x^2 square meters. And the area of the new square is (x + 3)^2 square meters.

Since it is given that the area of the new square is 64 square meters, we can set up the following equation:

(x + 3)^2 = 64

To solve this equation, we can take the square root of both sides:

√((x + 3)^2) = √64

Simplifying, we get:

x + 3 = 8

Subtracting 3 from both sides, we have:

x = 8 - 3

x = 5

Therefore, the length of a side of the original square is 5 meters.