Question

the length of a rectangle is6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle.
फुल सॉल्यूशन ​

Answer 1

Step-by-step explanation:

length =18 metres

breadth = 12 metres

Answer 2

• Length of rectangle is 18 metres.
• Breadth of rectangle is 12 meters.

Step-by-step explanation:

Given:-

• Perimeter of rectangle is 60 meter.

To find:-

• Length and breadth of rectangle.

Solution:-

Let, Breadth of rectangle be x meter.

And Length of rectangle be x + 6 meter . [We have taken Length be x + 6 because it is given that length of 6 meter more than its Breadth.]

$\boxed{\sf \bold{Perimeter\: of\: rectangle=2(Length+ Breadth)}}$

Now, Put Length, Breadth and Perimeter of rectangle in formula :

$\sf \longrightarrow 60 = 2\times (x + 6 + x)$

$\sf \longrightarrow 60 = 2x + 12 + 2x$

$\sf \longrightarrow 60 = 4x + 12$

$\sf \longrightarrow 60 - 12 = 4x$

$\sf \longrightarrow 48 = 4x$

$\sf \longrightarrow \dfrac{48}{4}=x$

$\longrightarrow \purple{\boxed{\sf \bold{x = 12}}\star}$

Verification:-

$\sf \longrightarrow 60 = 2\times(x + 6 + x)$

$\sf \star \: Put \: x = 12$

$\sf \longrightarrow 60 = 2\times(12 + 6 + 12)$

$\sf \longrightarrow 60 = 2\times (18 + 12)$

$\sf \longrightarrow 60 = 36 + 24$

$\sf \longrightarrow 60 = 60$

$\boxed{\sf Hence \: Verified.}$

Now,

We have taken, Breadth of rectangle be x. So, Breadth of rectangle is 12 meters.

And we take, Length of rectangle be x+6 = 12+6=18. Thus, Length of rectangle be 18 meters.