Question

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The length of a rectangular hall is 4 metres more than its breadth. If the perimeter of the hall is 56 metres, find its length and breadth.​​

Answer 1

Answer:

The length of a rectangular hall is 5 meters more than its breadth. If the perimeter of the hall is 74 meters, find its length in meters.

Top answer · 28 votes

Given: Length of the rectangular hall = 5 + breadth of the rectangular hall l = 5 + b Perimeter of the rectangular hall = 2 (l + b ) 74 = 2 (5 + b + b ... More

Answer 2

Answer:

• Length = 16 m

• Breadth = 12 m

Step-by-step explanation:

Given :

• Length of the rectangle hall is 4 metres more than its breadth
• Perimeter of the hall is 56 meters

To Find :

• Length and breadth

Diagram :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(2,3.5){\sf\large x+4 m}\put(-1.4,1.4){\sf\large x m}\put(2,1.4){\large\bf 56 m}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

Solution :

Let the breadth of the hall be

• x

Let the length of the hall be

• x + 4

As we know,

Perimeter of rectangle

$\large{\red{ \underline{ \underline{ \boxed{ \green{ \mathcal{ Perimeter = 2(Length × Breadth)}}}}}}}$

$\\ \tt➪ \: 56 = 2((x + 4) + x)$

$\\ \tt \: ➪ \: 56 = 2(x + 4 + x)$

$\\ \tt➪ \: 56 = 2(2x + 4)$

$\\ \tt➪ \: 56 = 4x + 8$

$\\ \tt ➪ \: 5 6 - 8 = 4x$

$\\ \tt ➪ \: 4x = 48$

$\\ \tt \: ➪ \: x = \cancel \frac{48}{4}$

$\\ \tt➪ \: x = 12$

Hence,

• Length = x + 4 → 12 + 4 → 16 m
• Breadth = 12 m

Therefore, the length and breadth of the rectangular hall is 16m and 12m respectively.