Question

The breadth and length of a rectangle are in the ratio 3:5. The length is 12 cm more than its breadth. What are the length and breadth?

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Answer 1

Let the breadth of the rectangle be xcm

Then it's length=x+5cm

Perimeter=2(length+breadth)

⇒70=2(x+(x+5))

⇒270=2x+5

⇒2x+5=35

⇒2x=35−5=30

⇒x=230=15cm

Breadth=x=15cm and length=x+5=15+5=20cm

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Answer 2

Answer:

let the breadth be x

length = 12 +x

ratio of length 3y(12+x)

36y+3xy

ratio of breadth 5y(x)

5yx