the perimeter of a rectangular park is 44 cm if the bretah is 5 fine the length of the park
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Answer:
Perimeter of rectangle = 2(l+b)
= 2(l + 5) = 44cm
2l + 10 = 44
2l = 34
l = 17 cm
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Appropriate Question :
The perimeter of a rectangular park is 44 cm. If the breadth is 5 cm. Find the length of the park.
Given :
- Perimeter of a rectangular park = 44 cm
- Breadth of the rectangular tank = 5 cm
To find :
- Length of the park
Knowledge required :-
- Formula of perimeter of rectangle :-
Perimeter of rectangle = 2(l + b)
where,
- l = length of the rectangle
- b = breadth of the rectangle
Solution :
⠀⠀⠀⇒ Perimeter = 2(l + b)
⠀⠀⠀⇒ 44 = 2(l + 5)
⠀⠀⠀⇒ 44/2 = l + 5
⠀⠀⠀⇒ 22 = l + 5
⠀⠀⠀⇒ 22 - 5 = l
⠀⠀⠀⇒ 17 = l
Length of the rectangle = 17 cm
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⠀⠀⠀⠀⠀⠀⠀⠀⠀Verification -:
Substitute the value of l in 44 = 2(l + 5)
LHS = 44
Taking RHS,
⠀⠀⠀⇒ 2(l + 5)
⠀⠀⠀⇒ 2(17 + 5)
⠀⠀⠀⇒ 2(22)
⠀⠀⠀⇒ 44
RHS = 44
LHS = RHS
⠀⠀⠀⠀⠀⠀Hence, verified.
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