Explanation:
The length and breadth of a rectangle are in the ratio 3:2 . If its perimeter is 1 metre, 40 centimetres, how would one find the dimensions of the given rectangle?
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3 Answers

C. S. Sharma, former Senior Environmental Scientist/Additional Director (1983-2017)
Answered January 11, 2020 · Author has 7.5K answers and 5.1M answer views
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Let the rational between length and breadth of rectangle be x
Thus length is 3x and breadth is 2x
We know perimeter of rectangle = 2 ( length + breadth)
Perimeter = 1 meter 40 centimetre = 140 cm.
140 cm = 2 (3x + 2x)
140 cm = 2 (5x)
140 cm = 10x
10x = 140
x = 140/10
x = 14
The rational is 14. Thus the length and breadth of rectangle is
Lengths of rectangle 3x = 3 × 14 = 42 cm.
Breadth of rectangle 2x = 2 × 14 = 28 cm.