The Length of a rectangle exceeds its breadth by 9 cm. if length and breadth are each increased by 3 cm, the area of new rectangle will be 84 cm square more than that of the given rectangle. Find the length and breadth of given rectangle.... (A)8 cm (B)16 cm (C)9 cm (D)17 cm Note: There is no diagram Related to this question....

Mathematics · College · Thu Feb 04 2021

llm

Answered on Mon May 30 2022

Let the breadth be x

Then, Length is x + 9 cm

Now, breadth and Length is increased by 3 cm

So, breadth = x + 3 cm

And, Length = x+ 12 cm

Area of rectangle = Length × breadth

Now, according to question area of new rectangle is 84 cm² more than of the given rectangle.

So, (x+3)(x+12) - x(x+9) = 84

x² + 3x + 12x + 36 - x² - 9x = 84

6x + 36 = 84

6x = 84 - 36

6x = 48

x = 48/6

x = 8

So, breadth = 8 cm

length = 8 + 9 = 17 cm