Question

The length of a rectangle is increased by 49.99%.While its breadth is decreased by 10.01%. Then find the percentage change in area.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Percentage change in area = 34.97 %

Step-by-step explanation:

As per the question,

Let the original length of rectangle be x.

  and the original breadth of rectangle be y.

Area of rectangle is given by formula = length × breadth

∴ Area = xy

Now according to question,

length is increased by 49.99 %

⇒ new length = x + 49.99 % of x

⇒ new length = (149.99 x/100)

breadth is decreased by 10.01 %

⇒ new breadth = y - 10.01 % of y

⇒ new breadth = (89.99 y/100)

∴ New area = new length × new breadth

                    = (149.99 x/100) × (89.99 y/100)

                    =  1.349 xy

Now,

$Percentage\ change \ in \ area \ =\frac{new \ area \ - \ original\ area}{original\ area}\times100$

$Percentage\ change \ in \ area \ =\frac{1.349xy \ - \ xy}{xy}\times100$

∴ Percentage change in area = 34.97 %