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Question

If the ratio of length and breadth of a rectangle is 5:2 and its perimeter is 280 m, then find the length and breadth of the rectangle

A
50 m, 20 m
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B
100 m , 30 m
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C
100 m, 40 m
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D
200 m , 80 m
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Solution

The correct option is C 100 m, 40 m
Length : breadth = 5:2
Area of the rectangle = 2 x (Length + breadth)
In terms of ratio area of rectangle = 2 x (5+2)
= 14
14 parts of ratio = 280 m
1 part of ratio = 280 / 14 = 20 m
Length = 5 x 20 = 100 m
Breadth = 2 x 20 = 40 m

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