Question

If we increase the length of a rectangle by 10% then the breadth should be decreased by how much percent so that the area of rectangle remains constant.​

Answer 1

Answer:

9.99%

Step-by-step explanation:

Let the length of the rectangle be L

Let the breadth of the rectangle be B

So, the area will be LB

If we are increasing the length by 10%

If the length is increased by 10% the length will be

L + L/10 = 11L/10

LB = (11/10)L × (*)B

* will be equal to the reciprocal of 11/10 which is 10/11

LB = (11/10)L × (10/11)B

B has changed from B to 10B/11

So   B-10B/11 = B/11

It has decreased by 1/11

To find the % multiply by 100

1  × 100/11 = 100/11 = 9.99%

It has decreased by 9.99%