Question

The length of a rectangular hall is 4 meters more than its

breadth. If the perimeter of the hall is 56 meters, find its length

and breadth.
I want correct answer and if my teacher says it's correct then I will set a 50 points answer only for you.
Wrong answers will be reported.
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Answer 1

length=4b

breadth=b

perimeter=2(l+b)=56

2(4b+b)=56

4b+b=56/2

5b=28

b=28/5

length=4b=4(28/5)=112/5=22.4m

breadth=28/5=5.6m

i hope you understand

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Answer 2

• Length of rectangular hall is 16 m.
• Breadth of rectangular hall is 12 m.

Step-by-step explanation:

Given :-

• Perimeter of rectangular hall is 56 m.

To find:-

• Length and breadth of rectangular hall.

Solution:-

Let, Breadth of rectangular hall be x.

And Length of rectangular hall be x+4. [We take length be x+4 because it is given that length is 4 m more than its Breadth.]

Perimeter of rectangle = 2(length + breadth)

Put, Length, Breadth and Perimeter of rectangular hall in formula :

$\longrightarrow$ 56 = 2(x + 4 + x)

$\longrightarrow$ 56 = 2x + 8 + 2x

$\longrightarrow$ 56 = 4x + 8

$\longrightarrow$ 56 - 8 = 4x

$\longrightarrow$ 48 = 4x

$\longrightarrow$ 48/4 = x

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

Verification:-

$\longrightarrow$ 56 = 2(x + 4 + x)

• Put x = 12

$\longrightarrow$ 56 = 2(12 + 4 + 12)

$\longrightarrow$ 56 = 2(16 + 12)

$\longrightarrow$ 56 = 32 + 24

$\longrightarrow$ 56 = 56

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

We have taken,

Length be x + 4 = 12 + 4 = 16

Thus, Length of rectangular hall is 16 m

Breadth be x = 12

So, Breadth of rectangular hall is 12 m.