Question

The length of a rectangle is twice its breadth. If its length is decreased by 4 cm and breadth is increased by 1 cm, the area of the rectangle is increased by 198
sq.cm. What is the length of the rectangle?
A. 18cm
B. 16cm
C. 40cm
D. 20cm

Answer 1

Answer:

Length will be 25 cm which is not given in bellow option

Step-by-step explanation:

Let breadth of the rectangle is b

According to question length l = 2b

So area $A=b\times 2b=2b^2$

Now length is decreased by 4 cm

So length = 2b -4

And breadth increased by 1 cm

So breadth = b+1

So New area $A_{NEW}=(2b-4)\times (b+1)=2b^2-2b-4$

As the area is increased by $198cm^2$

So $A_{NEW}-A=198$

$2b^2-2b-4-2b^2=198$

$b=-101cm$

Length can't be negative so none of the option is correct