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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

Respuesta :

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 [tex]A=b\times 2b=2b^2[/tex]

Now length is decreased by 4 cm

So length = 2b -4

And breadth increased by 1 cm

So breadth = b+1

So New area [tex]A_{NEW}=(2b-4)\times (b+1)=2b^2-2b-4[/tex]

As the area is increased by [tex]198cm^2[/tex]

So [tex]A_{NEW}-A=198[/tex]

[tex]2b^2-2b-4-2b^2=198[/tex]

[tex]b=-101cm[/tex]

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

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