the area of ractangle is 12sq.meter and its lenggt is 3 times that if its breadtg what is the perimeter of rectangle
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Answer:
Let length and width be l and b.
The perimeter of the rectangle is given by
2(l+b)=12
⇒l+b=6
According to the given condition
l=3+2b
⇒6−b=3+2b
⇒3b=3
b=1
Using this value of b,
l+1=6
⇒l=5
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Step-by-step explanation:
Let the length and breadth of the rectangle be l and b respectively.
Given,
Area of rectangle = 12 m²
l × b = 12 ---(1)
and, l = 3b
Substituting l = 3b in eq 1,
3b × b = 12
3b² = 12
b² = 4
b = 2 m
Therefore, l = 3 × 2 = 6 m
Therefore, Perimeter of rectangle = 2(l + b) = 2(6 + 2) = 2 × 8 = 16 m
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