Find
Perimeter of a Square
if its
Area
is given
QUESTION: A square plot of land has an area of 784 square meters. What is the perimeter of the land?
SOLUTION:
Formula of area of a square = s × s = s² ———————-(A)
where s is the length of one side of a square.
Here,
area of square plot of land is 784 m²
Put value in equation (A)
Area of square plot of land = s² = 784 m²
where s is the length of the side of square plot.
Take square root on both sides
√s² = √784 m²
s = ±28 m
As length is always a positive quantity. So,
s = 28 m —————(1)
Formula of perimeter of a square = 4s ————-(B)
So put value of s in equation (B) from equation (1)
Perimeter of a square plot of land = 4s ⇒ 4(28) = 112 m
Thus if a square plot of land has an area of 784 m², its perimeter will be 112m.