The length of rectangle is 1/3 of its breath . if its perimeter is 64 then find the length and breadth of the rectangle
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Hello Mate! Here is your answer:
Let the breadth of the rectangle be b cm,
Length (l) = 1/3 of b
= 1/3*b
= b/3
Perimeter = 64 cm
∴ Perimeter = 2*(l+b)
= 64 = 2*[b+b/3]
= 64 = 2*[(3b+b)/3]
= 64 = 2*[4b/3]
= 64 = 8b/3
= 192 = 8b
= 24 cm = b
The Breadth is 24 cm; Length is (24/3) cm = 8 cm
I hope this helps.
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