the length and the breadth are in ratio 1:2 if the length is increased by 2 cm and breadth by 3 cm Then tge ratio of the new rectangle to the perimetre of the orignal rectangle is 4:3. find the dimensions of original rectangle
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Answer:
length =10 CM
breadth =5CM
let the ratio of length and breadth of original rectangle = 2x and x
perimeter of rectangle = 2 (l+b)
=2(2x+x)
=2×3x
=6x
when the length is increased by 2cm and breadth by 3cm then
the length=2x+2
the breadth=x+3
the perimeter of the rectangle =2(l+b)
=2{(2x+2) + (x+3)
=2 (3x+5)
=6x+10
the ratio of the new rectangle and the original rectangle = the perimeter of new rectangle /the perimeter of original rectangle
4/3 = 6x+10 / 6x
24x=18x + 30
24x - 18x=30
6x=30
x=30÷6
x=5
length of the original rectangle =2x
=2×5
=10cm
breadth of the original rectangle =x
=x × 5
=5cm
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