the length of a rectangle is 3 more than the breadth if its perimeter is 60 centimetres find the length and breadth
Answers
Let the breadth be x
Length = x + 3
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Step 1: Express perimeter in term of x:
Perimeter = 2 (Length + Breadth)
Perimeter = 2( x + x + 3)
Perimeter = 2(2x + 3)
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Step 2: Find x
Given that perimeter = 60 cm
2(2x + 3) = 60
Divide both sides by 2:
2x + 3 = 30
Take away 3 from both sides:
2x = 27
Divide both sides by 2:
x = 13.5 cm
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Step 3: Find Length and Breadth
Breadth = x = 13.5 cm
Length = x + 3 = 13.5 + 3 = 16.5 cm
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Answer: Length = 16.5 cm and Breadth = 13.5