Math, asked by adityaa5894, 4 months ago

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Answered by sdayal32
1

Answer:

Ncert solutions

Grade 8

Mathematics

Science

Chapters in NCERT Solutions - Mathematics , Class 8

Exercises in Linear Equations in One Variable

Question 2

Q2) The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and breadth?

Solution

Transcript

Solution:

Let the breadth of the pool be x m.

Then, the length of the pool = \left(2x+2\right)(2x+2) m.

Perimeter = 2(l+b)

\Rightarrow\ 154\ =\ 2\left(2x+2+x\right)⇒ 154 = 2(2x+2+x)

\Rightarrow\ \frac{154}{2}=\frac{2\left(2x+2+x\right)}{2}⇒

2

154

=

2

2(2x+2+x)

[Dividing both sides by 2]

\Rightarrow\ 77\ =\ 3x\ +\ 2⇒ 77 = 3x + 2

\Rightarrow\ 77-2=3x+2-2⇒ 77−2=3x+2−2

[Subtracting 2 from both sides]

\Rightarrow\ 75=3x⇒ 75=3x

\Rightarrow\ \frac{75}{3}=\frac{3x}{3}⇒

3

75

=

3

3x

[Dividing both sides by 3]

\Rightarrow25=x⇒25=x

\Rightarrow\ x=\ 25\ m⇒ x= 25 m

Hence, length of the pool = 2x + 2

2 x 25 + 2 = 50 + 2 = 52 m

And, breadth of the pool = 25 m.

Answered by 123UDAY123
0

Answer:

perimeter = 2(l + b)

154 = 2(l + b) (1)

ACCORDING TO QUESTION

l = 2 + 2b (2)

BY SUBSTITUTING THE VALUE OF l in equation (1)

154 = 2{(2 + 2b) + b}

154/2 = 2 + 2b + b

77 = 2 + 3b

77 - 2 = 3b

75/3 = b

b = 25

BY SUBSTITUTING THE VALUE OF b IN EQUATION (2)

l = 2 + 2b

l = 2 + 2 × 25

l = 2 + 50

l = 52

THUS LENGTH AND BREADTH OF THE POOL ARE

LENGTH = 52meter

BREADTH = 25meter ans.

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