Question

(1) The perimeter of a rectangle is 200 cm. Its length is three times its breadth. Find it
length and breadth.​​

Answer 1

Answer:

Answer:

Length = 75cm.

Breadth = 25cm.

Given:

The perimeter of a rectangle is 200 cm.

Its length is three times its breadth.

To find:

Find it's length and breadth.

Solution:

Given that,

Its length is three times its breadth.

Let us assume length as l

And, Let us assume breadth as b

So,

It can be written as l = 3b

We know that,

Perimeter of a rectangle = 2(l + b)

Now,

l × b = 200

Given, Perimeter = 200.

We know that, l = 3b..

By replacing 3b in place of l, We get :

➨ 2(3b + b) = 200

➨ 6b + 2b = 200

➨ 8b = 200

➨ b = \bf \dfrac{200}{8}8200

➨ b = 25cm.

Hence,

Breadth = 25cm.

Length = 3b = 3 × 25 = 75cm.

Verification:

2(3b + b) = 200

➨ 2(3(25) + 25) = 200

➨ 2( 75 + 25 ) = 200

➨ 2( 100 ) = 200

➨ 200 = 200

LHS = RHS

Hence , Verified.

Answer 2

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Answer:

Length = 75cm.

Breadth = 25cm.

Given:

The perimeter of a rectangle is 200 cm.

Its length is three times its breadth.

To find:

Find it's length and breadth.

Solution:

Given that,

Its length is three times its breadth.

Let us assume length as l

And, Let us assume breadth as b

So,

It can be written as l = 3b

We know that,

Perimeter of a rectangle = 2(l + b)

Now,

l × b = 200

Given, Perimeter = 200.

We know that, l = 3b..

By replacing 3b in place of l, We get :

➨ 2(3b + b) = 200

➨ 6b + 2b = 200

➨ 8b = 200

➨ b = \bf \dfrac{200}{8}8200

➨ b = 25cm.

Hence,

Breadth = 25cm.

Length = 3b = 3 × 25 = 75cm.

Verification:

2(3b + b) = 200

➨ 2(3(25) + 25) = 200

➨ 2( 75 + 25 ) = 200

➨ 2( 100 ) = 200

➨ 200 = 200

LHS = RHS

Hence , Verified.