Question

The length and breadth of a rectangle are in a ratio 2:1. If length is increased by 2cm and breadth by 3cm then the ratio of the perimeter of the new rectangle to perimeter of the original rectangle is 4:3. Find the dimensions of original rectangle.

Answer 1

Answer:

Step-by-step explanation:

Length:breadth=2:1

Length=2x and breadth=x

Perimeter=2(l+b)

=2(2x+x)=2×3x=6x

New length=2x+2

New breadth=x+3

New perimeter=2(l+b)

=2(2x+2+x+3)=2(3x+5)

New perimeter: perimeter=4:3

2(3x+5)/6x=4/3

Solving you get x=5

Dimensions of original rectangle

Length=2x=10

Breadth=x=5

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