the perimeter of a rectangle is16 m.if one of its side is 2 m more than the other. find its length and breath?
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Answer:
Perimeter of the square =4a=4×12.5=50cm
Let the breadth of the rectangle =b cm.
Perimeter of the rectangle =2(l+b)=50cm
=>16+b=25
=>b=9 cm
Area of the rectangle =l×b=16×9=144cm
2
Step-by-step explanation:
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- Length = 5 cm
- Breadth = 3 cm
Step-by-step explanation:
Let,
- Length be 'l'
- Breadth be 'b'
Given,
- Perimeter = 16 m
- One side = 2 m more than other side
Let that side be Length (l) = 2 + breadth ------- (1)
Formula,
- Perimeter of a rectangle = 2 ( Length + Breadth )
Substituting values in Formula,
⟶ 16 = 2 [(2 + b) + b]
⟶ 16 = 2 (2 + 2b)
⟶ 16 = 4 + 4b
⟶ 4b = 16 - 4
⟶ 4b = 12
⟶ b = 12 / 4
⟶ b = 3
Substituting 'b' in (1),
⟶ l = 2 + b
⟶ l = 2 + 3
⟶ l = 5
- ∴ Length of the rectangle = 5 cm &
- Breadth = 3 cm
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