Question

the perimeter of a rectangular lawn is 54cm. It is reduced in size so that the length is 3/4 and breadth is 3/5 of the original dimensions. the perimeter of the reduced rectangle is 36cm. what are the original dimensions of the rectangular lawn. ​

Answer 1

Answer:

l=length b=width..

Hope it is easy to understand.

Answer 2

The original dimensions of the rectangular lawn are 12 cm and 15 cm

Step-by-step explanation:

Let the length be x

Let the breadth be y

The perimeter of a rectangular lawn is 54cm.

Perimeter of rectangle =2(l+b)

So, 2(x+y)=54

x+y=27

y=27-x

The length is 3/4 and breadth is 3/5 of the original dimensions.

New length = $\frac{3}{4}x$

New breadth = $\frac{3}{5}y$

The perimeter of the reduced rectangle is 36cm.

So,$2( \frac{3}{4}x+\frac{3}{5}y)=36\\\frac{3}{4}x+\frac{3}{5}y=18\\\frac{3}{4}x+\frac{3}{5}(27-x)=18$

x=12

y=27-x=27-12=15

Hence the original dimensions of the rectangular lawn are 12 cm and 15 cm

#Learn more:

The breadth of a rectangular lawn is 4 m. If the perimeter of the lawn is 24 m find it's length.

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