Math, asked by krishnanandsir, 5 months ago

the length of a rectangle exceeds its breadth by 9 cm. if length and breadth are each increased by 3cm. the area of the new rectangle will be 84cm2. more than that of the given rectangle. find the length and breadth of the given rectangle.​

Answers

Answered by bhaveshparshuramsamp
3

Answer:

I hope it helps to you

Attachments:
Answered by deepikasinghroll17
0

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.

I hope it will help you out

Please Mark me as BRAINLIEST

Similar questions