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.