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

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

Explanation:

Let breadth of the rectangle is b

According to question length l = 2b

So area
`A=b* 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)* (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