The area of a square plot is 101 1/400 m². Find the length of one side of the plot.
Solution:
Given, the area of a square plot is 101 1/400 m²
We have to find the length of one side of the plot.
Let the length of one side of the square plot be x.
We know, area of square = (side)²
Given, area of square plot, x² = 101 1/400 m²
Converting 101 1/400 to normal fraction,
101 1/400 = [101(400)+1]/400
= (40400+1)/400
= 40401/400
So, x² = 40401/400
Taking square root,
√x² = √(40401/400)
x = √40401 / √400
By using long division,
So, √40401 = 201
Similarly, √400 = √(20)² = 20
Now, x = 201/20
201/20 = 10 1/20 m
Therefore, the required length is 10 1/20 m.
✦ Try This: The area of a square plot is 11 1/44 m². Find the length of one side of the plot.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 132
The area of a square plot is 101 1/400 m². Find the length of one side of the plot
Summary:
The area of a square plot is 101 1/400 m². The length of one side of the plot is 10 1/20 m.
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