Question

A square carrom board has a perimeter of 480 cm. What is its area?

Answer 1

Hint: To solve this problem you should know some basic properties of squares.
To solve this problem we first calculate the side of the square then by using a formula we can calculate the area of a given square. As we know, all sides of the square will be equal. so, we assume the side of a square as x then we find its value.
Formula used:
Perimeter of a square $ = 4 \times side$
Area of a square $ = {\left( {side} \right)^2}$

Complete step-by-step answer:
Given:
 Perimeter of a square carrom board $ = 480cm$
But we know that perimeter of a square $ = 4 \times side$
So , $4 \times side = 480cm$
Dividing both sides by 4, we get
$ \Rightarrow side = 120cm$
Now,
Area of a square $ = {\left( {side} \right)^2}$
Putting the value of side in above equation, we get
Area of a square $ = {\left( {120cm} \right)^2} = 14400c{m^2}$
Hence, Area of the required square carrom board is $14400c{m^2}$ .
So, the correct answer is “$14400c{m^2}$”.

Note: Perimeter of a shape is the measure of its outermost boundary. In case of any polygon you can add all of its sides to find its perimeter. To find an area of a polygon having more number of sides we can divide the polygon into many parts or the shape for which we easily calculate the area.