Question

The length of a rectangle exceeds its breadth by 4cm.If length and breadth are each increased by 3cm.the area of the new rectangle will be 81 sq.cm. more than that of the given rectangle. Find the length and breadth of the given rectangle
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Answer 1

Answer:

Step-by-step explanation:

Let the breadth of the rectangle be x cm.  

Then, the length of the rectangle is (x+9) cm.

So, area of rectangle = length x breadth =x(x+9)cm  

2

 

Now, length of new rectangle =(x+9+3) cm =(x+12) cm and

breadth of new rectangle =(x+3) cm.

So, area of new rectangle = length × breadth =(x+12)(x+3)cm  

2

 

According to the given condition,  

(x+12)(x+3)=x(x+9)+84

⇒x  

2

+12x+3x+36=x  

2

+9x+84

⇒15x+36=9x+84

⇒15x−9x=84−36

⇒6x=48

⇒x=8

So, breadth of the rectangle is 8 cm and length  

=8+9=17 cm.