Question

the length of a rectangular hall is 5m more than its breadth if the perimeter of a hall is 74 M find its length and breadth

Answer 1

let the breadth of rectangular hall is =x
the length of rectangular hall is = 5+x
perimeter of rectangular hall is = 2(l+b)
perimeter of hall is = 74m
74= 2(5+x+x)
74= 2(2x+5)
74= 4x+10
74-10=4x
64 =4x
64/4= x
x=16 m
so the breadth of rectangular hall is =16 m
the length of rectangular hall is =5+16 =21m

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Answer 2

Given :-

• the length of a rectange is 5m more than it breadth
• Perimeter of Rectangle = 74m

To Find :-

• Length and Breadth of Rectangle

Solution :-

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be x + 5

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 74 = 2 ( x + 5 + x )

➞ 74 / 2 = x + 5 + x

➞ 37 = 2x + 5

➞ 37 - 5 = 2x

➞ 32 = 2x

➞ 32 / 2 = x

➞ 16 = x

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Verification :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ Perimeter of Rectangle = 2 (x + 5 + x)

➞ Perimeter of Rectangle = 2 (16 + 5 + 16)

➞ Perimeter of Rectangle = 2 (21 + 16)

➞ Perimeter of Rectangle = 2 × 37

➞ 74 = 74

Hence Verified

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Therefore :

• Length = x + 5 = 16 + 5 = 21m
• Breadth = x = 16m

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★ Additional Info :

Formulas Related to Rectangle:

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

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