if the breadth of rectangle in one-third of it's length a perimeter is 80cm, find the length and breadth of rectangle
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Answer:
Step-by-step explanation:
Let the length of rectangle be x
Breadth =1/3 of length
Breadth=1/3×x
Perimeter of rectangle=2(length +breadth)=80
=2(x+1/3×x)=80
LCM of 1 and 3 is 3
2(x×3/1×3+1x/3)=80
2(3x/3+1x/3)=80
2(3x+1x/3)=80
2(4x/3)=80
8x/3=80
8x=80×3
8x=240
x=240÷8
x=30
Therefore, length =x=30cm
Breadth=1/3×x=1/3×30=10cm
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