Advertisements
Advertisements
Question
The area of a square plot is `101 1/400`m2. Find the length of one side of the plot.
Advertisements
Solution
Let length of the square plot be a.
Then, the area of square = a2
According to the question,
Area = `101 1/400`m2 ...[Given]
∴ a2 = `101 1/400`
⇒ a2 = `40401/400`
⇒ a = `sqrt(40401/400)`
⇒ a = `sqrt((201 xx 201)/(20 xx 20)`
∴ a = `201/20 = 10 1/20`m ...[Taking square root on both sides]
Hence, the length of one side of the plot is `10 1/20`m.
APPEARS IN
RELATED QUESTIONS
Find the square root of:
\[4\frac{29}{29}\]
Find the square root of:
\[38\frac{11}{25}\]
The area of a square field is \[30\frac{1}{4} m^2 .\] Calculate the length of the side of the square.
Find the square root of 0.1764
Evaluate:
`sqrt((0.225)/(28.9)`
Find the square root of: 0.2916
Find the square root of:
`(507)/(4107)`
If a number ends with 3 zeroes, how many zeroes will its square have?
Give reason to show that none of the numbers, given below, is a perfect square.
(i) 2162
(ii) 6843
(iii) 9637
(iv) 6598
If a number has 5 or 6 digits in it, then its square root will have ___________ digits
