Question

the length of a given rectangle is increased by 20% and the breadth is decreased by 20%. then the resulting area is?

Answer 1

Answer:

4%

Step-by-step explanation:

Let the original length and breadth be l and b.

So, initial area = lb.

(i) Length:

Given that length is increased by 20%.

So, Length = (120/100)l

                  = 6l/5

(ii) Breadth:

Given that breadth is decreased by 20%.

So,Breadth = (80/100)b

                   = 4b/5

So,new area = (6l/5) * (4b/5) = (24lb/25).

Now,

%decrease = [(original area -new area) * 100]/lb

                   = [(lb - 24lb/25) * 100]/lb

                   = [(lb/25) * 100]/lb

                   = 100/25

                   = 4%

Therefore, % decrease = 4%.

Hope it helps!

Answer 2

Hi!!!!!


Refer to the attachment