A square of any number is expressed as
n2 where n is a natural number
a) 92 = 9 x 9 = 81
b) 142 = 14 x 14 = 196
c) 0.052 = 0.05 x 0.05 = 0.0025
A square root is the opposite of squares: in the examples above
a) √81 = 9
b) √196 = 14
c) √0.0025 = 0.05
Can you solve the following question?
A rectangular plot measuring 54m by 24m has the same area as a square plot. What is the perimeter of the square plot?
Solution
Area of the Rectangular Plot:
54 x 24 = 1296m2
A square has 4 equal sides hence its area is L X L = L2
∴ L2 = 1296
L = √1296
L = 36m
Perimeter = L + L + L + L = 4L
= 4 x 36
= 144m