the perimeter of a square field is 152 m find its area
Answers
Answer:
1444
Step-by-step explanation:
perimeter of a square=152m
4a =152
a = 152/4
a =38
then area of square = a*a
=38*38
=1444
Given:
The perimeter of a square field is 152m.
To Find:
The area of the square is?
Solution:
The given problem can be solved using the formulae of the perimeter and the area of the square.
1. Consider a square of side length x units.
=> The perimeter of the square is given by the formula,
=> Perimeter of the square = 4 * x units,
=> Perimeter of the square = 4x units.
=> The area of the square is given by the formula,
=> Area of the square = x * x,
=> Area of the square = x².
2. Substitute the value of the perimeter to find the value of side length,
=> 152 = 4(side length),
=> Side length = 152/4,
=> Side length = 38m.
3. Area of the square = 38 * 38,
=> Area of the square = 1444 m².
Therefore, the area of the square field is 1444 m².