Concept of Perimeter and Area
221
BANPLE 4
The length and the breadth of a rectangle are in the ratio 3:2. If its perimeter is
1 m 40 cm. find its dimensions.
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Step-by-step explanation:
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.
Answer the dimensions of given rectangle are length 42 cm. And breadth 28 cm.
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