Question

The breath of a rectangular hall is 10m less than its length. if the perimeter of the is 420m.find its length and breadth.


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Answer 1

Answer:

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Answer 2

Answer:

Length of the rectangular hall is 110 m and breadth of the rectangular hall is 10 m.

Step-by-step explanation:

Given :-

• The breadth of a rectangular hall is 10 m less than its length.
• The perimeter of the rectangular hall is 420 m.

To find :-

• Its length and breadth.

Solution :-

Let the length of the rectangular hall be x m.

★ The breadth of a rectangular hall is 10 m less than its length.

Then,

• Breadth of the rectangular hall = (x-10) m

Formula used :

${\boxed{\sf{Perimeter\:of\: rectangle=2(length+breadth)}}}$

According to the question,

2(l+b)=420

→ 2 [(x+(x-10)]=420

→ 2 (x+x-10) = 420

→ 2 (2x-10) = 420

→ 2x-10 = 420/2

→ 2x-10 = 210

→ 2x = 210+10

→ 2x = 220

→ x = 110

Therefore,

• Length of the rectangular hall = 110 m
• Breadth of the rectangular hall = (110-10) = 100 m