The length of a rectangle is 3cm more than its breadth and its perimeter is 50cm.
What is the sum of its length and breadth?
Find the length and breadth of the rectangle?
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The correct answer is length = 15 cm and breadth = 12 cm.
Given: Perimeter = 50 cm.
Relation between length and breadth.
To Find: Length and breadth.
Solution:
Perimeter = 2(l + b)
Relation between length and breadth.
l = 3 + b (equation 1)
Put this in perimeter formula.
Perimeter = 2(l + b) = 30
30 = 2(3 + b + b)
15 = 3 + 2b
2b = 12
b = 12
Put in equation 1.
l = 3 + b
l = 3 + 12
l = 15
Hence, the length of rectangle is 15 cm and the breadth is 12cm.
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