Question

The area of a square field is 625sq.m. Find the length of each side.

Answer 1

Hint:
Here we have to calculate the side of a square. For that, we will first assume the side of a square to be any variable and then we will use the formula of area of the square and put the assumed side there and then we will put the given area of the square there. From there, we will know the value of each side.

Complete step by step solution:
Let the side of the square be x as we know all sides of a square are equal.
We know;
Area of square $={{\left( side \right)}^{2}}$
We have assumed the side of a square as x. We will put the assumed side here.
Area of square $={{\left( x \right)}^{2}}$ ……………$\left( 1 \right)$
Area of the square given in the question is 625sq.m. We will put the value of area in equation 1.
$\Rightarrow 625={{\left( x \right)}^{2}}$
Taking square roots on both sides, we get.
$\Rightarrow \sqrt{625}=\sqrt{{{\left( x \right)}^{2}}}$
Simplifying the terms, we get
$\Rightarrow x=25m$

Therefore, the length of each side of the square is 25m.

Note:
we have calculated the area of the square here. We need to know the meaning of square and its properties. A square is defined as the quadrilateral, which has four equal sides and has vertices and all the angles are equal to 90o.
Some important properties of a square are as follows:-
1) Opposite sides of a square are parallel to each other.
2) Diagonals of a square bisect each other perpendicularly.
3) The lengths of two diagonals of a square are equal.
4) A diagonal of a square divides the square into two similar isosceles triangles.
5) The length of any diagonal of a square is greater than any of its sides.