Find the length of the side of a square whose area is 441 m 2

NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 6. Squares and Square Roots

Subject: Maths - Class 8^th

Q. No. 6 of Exercises 6.4

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6

Find the length of the side of a square whose area is 441 m²

Let the length of the given side of the square be x m

Now,

Area of square = (x)²

= 441 m²

x =

The square root of 441 can be calculated as:

	21
2	4̅ 4̅1̅ -4
41	41 41
	0

x = 21

Hence, the length of the side of the square is 21 m

6

Chapter Exercises

Exercises 6.1

Exercises 6.2

Exercises 6.3

Exercises 6.4

1

Find the square root of each of the following numbers by Division method.
(i) 2304 (ii) 4489

(iii) 3481 (iv) 529

(v) 3249 (vi) 1369

(vii) 5776 (viii) 7921

(ix) 576 (x) 1024

(xi) 3136 (xii) 900

2

Find the number of digits in the square root of each of the following numbers (without any calculation)
(i) 64 (ii) 144

(iii) 4489 (iv) 27225

(v) 390625

3

Find the square root of the following decimal numbers
(i) 2.56 (ii) 7.29

(iii) 51.84

(iv) 42.25

(v) 31.36

4

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained
(i) 402 (ii) 1989

(iii) 3250 (iv) 825

(v) 4000

5

Find the least number which must be added to each of the following numbers so asto get a perfect square. Also find the square root of the perfect square so obtained
(i) 525 (ii) 1750

(iii) 252 (iv) 1825

(v) 6412

6

Find the length of the side of a square whose area is 441 m²

7

In a right triangle ABC, ∠B = 90°
(a) If AB = 6 cm, BC = 8 cm, find AC
(b) If AC = 13 cm, BC = 5 cm, find AB

8

A gardener has 1000 plants. He wants to plant these in such a way that the numberof rows and the number of columns remain same. Find the minimum number of plants he needs more for this

9

There are 500 children in a school. For a P.T. drill they have to stand in such amanner that the number of rows is equal to number of columns. How many childrenwould be left out in this arrangement?