Question

the length of a rectangular hall is 5 metre more than its breadth if the perimeter of the hall is 74 metres find its length and breadth ​

Answer 1

Answer:

Here is the answer hope it helps

Answer 2

• Given:-

• Length of rectangular hall is 5m more than its breadth.
• Perimeter of the hall is 74m.

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• To Find:-

• Length and breadth of the rectangular hall.

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• Solution:-

Let the breadth of the rectangular hall be 'x'.

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Given that,

Length of the rectangular hall is 4 metres more than its breadth.

Therefore,

Length of the rectangular hall is ' x + 4 '.

We know,

$</p><p> \large\underline{\boxed{\sf\purple{Perimeter = 2(l+b)}}} </p><p></p><p>$

$➪ \sf 56 = 2((x+4) + x)56$

$➪ \sf 56 = 2(x + 4 + x)56$

$➪ \sf 56 = 2(2x+4)56$

$➪ \sf 56 = 4x + 856$

$➪ \sf 4x = 56 - 84x$

$➪ \sf 4x = 484x$

$➪ \sf x = \dfrac{48}{4}$

$★ \large{\bf\pink{12}}$

Hence,

Length = x + 4 → 12 + 4 → 16 m.

Breadth = 12 m.

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