Question

if the length and breadth of a rectangle is increased by 10% each then find percentage area.
note- breadth and length both are increased by 10%​

Answer 1

Answer:

Step-by-step explanation:

We can not determine percentage change in perimeter with only percentage increase/decrease in its dimensions, for calculating this we must be provided with the ratio of length and breadth

E.g let the length and breadth be 20unit and 10unit respectively.

Perimeter without increase will be 60units

And when we increase length and decrease breadth both by 10%

We'll get length as 22unit(20+20×10/100)

And breadth as 9unit(10–10×10/100)

Now Perimeter will be 62unit

Percentage change 2/60×100 = 3.33%

And if we change values this change will also differ

Let the length be 30unit and breadth be 20uniy

Perimeter will be 100unit

After percentage increase in length and decrease in breadth

Perimeter will be 102unit

Change will be 2/100×100 = 2%.

Hence proved that percentage change in Perimeter directly proportional to the ratio of length and breadth.