Question

The length of a rectangle is decreased by 50%. What percentage the width have to increased so as to maintain the same area

Answer 1

Answer:100%

Step-by-step explanation:

For first case when nothing is changed

Length be 'x' and width be 'y'.then

Area=xy .

For second case when length is decreased by 50%

Let width be b then

Length=x-x×50/100

=x-x/2

=X/2

Area=X/2×b

By question,

Area of first rectangle=area of second rectangle

or,xy=X/2×b

Or,b=2×xy/x

Or,b=2y

That is when length of rectangle is decreased by 50% then width of the rectangle is increased by 2times for maintenance of same area.