Bissoy.com
Doctors Medicines MCQs Q&A

The length of a rectangle is increased by 25% . By what percentage should the width be decreased so that the area of the rectangle remains unchanged ?

The length of a rectangle is increased by 25% . By what percentage should the width be decreased so that the area of the rectangle remains unchanged ? Correct Answer 20%

Let, the length of a rectangle is.x unit and breadth is y unit. Its area is x.y unit^2. New length = x + 25%of x = 5x/4. unit. Let new bredth = b , and area = (5x/4) × b.unit^2. Accordingly: (5x/4) × b = x.y. b = ( 4/5).y. Decrease in bredth. = y - 4y/5 = y/5. % decrease in bredth = (y/5) × 100/y = 20 % . Ans.

Related Questions

The length of a rectangle is increased by 25%. What percentage should the width be decreased so that the area of the rectangle remains unchanged?
The length of a rectangle is increased by 25% .By what percentage should the width be decreased so that the area of the rectangle remains unchanged?
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: If the length and breadth of a rectangle is decreased by 8% and 5% respectively, by what percentage will the area of the rectangle be decreased? Quantity B: If the side of a square is decreased by 6%, by what percentage will the area of the square be decreased?
Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly. Quantity I: if the length of a rectangle is increased by 20% while the breadth of the rectangle is decreased by 10% then find percentage change in area of the rectangle? Quantity II: if the side of a triangle is increased by 30% while the height of a triangle is decreased by 20% then find the percentage change in area of the triangle?
If the length of rectangle A is one -half of the length of rectangle B , and the width of rectangle A is one -half of the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?
If the length of rectangle A is one-half the length of rectangle B, and the width of rectangle A is one-helf the width of rectangle B, what is the ratio of the area of rectangle A to the are of rectangle B?
A rectangle has a width 'a' and length 'b'. If the width is decreased by 20% and the length is increased by 10%, then what is the area of the new rectangle in percentage compared to 'ab'?
If the length of rectangle B and the width of rectangle A is one-half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?
Area of a rectangle is 150 sq. metre. When the breadth of the same rectangle is increased by 2 metres and the length decreased by 5 metres the area of the rectangle decreases by 30 square metres. What is the perimeter of the square whose sides are equal to the length of the rectangle ?
The length of a rectangle is twice its breadth . If its length is decreased y 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq. cm . Find the length of the rectangle.