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.
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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%
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