Find The Length Of The Side Of A Square Whose Area Is 441m Square

Find The Length Of The Side Of A Square Whose Area Is 441m Square

Imagine you have a square field and you want to know how long each side of the fence needs to be. The area of the field, which is the total space it occupies, can be calculated by multiplying the length of one side by itself. This is because all four sides of a square are the same length.

In this problem, we know the area of the square field is 441 square meters (sq m). We need to find the length of each side (side length) so we can determine the amount of fencing needed. To do this, we'll use a mathematical relationship between the area and the side length of a square.

Checkout the explanation and the solution below to the problem of finding the side length of a square with a given area.

Equation Explanation

The area of any shape represents the amount of space it occupies. In a square, all sides are equal in length. So, to find the side length when the area is given, we can use the following relationship:

Area of Square = Side Length x Side Length

We can represent the side length with the variable "s".

We are given that the area of the square is 441 square meters (sq m). We want to find the side length (s). So, we can set up the equation: s x s = 441 sq m

This equation represents that the side length multiplied by itself (squared) equals the given area.

Solution

To find the length of the side of a square when given the area, you use the formula for the area of a square:

Area = Side ²

Given that the area is 441 square meters, you can set up the equation:

Side ² = 441

To find the side length, take the square root of both sides:

Side = √441

Now, calculate the square root:

√441 = 21

So, the length of the side of the square is 21 meters.