Question

Length of a rectangle is 9 cm more than its breadth if 3 cm is added to both the area of new rectangle will be 84cmsq more thsn original rectangle find lenght

Answer 1

Answer:

Step-by-step explanation:

Let the breadth of rectangle = x

Then the length of rectangle = x+9

Now, IF 3 cm added to both :

Breadth = x+3

Length = x+3+9= x + 12

Area of rectangle = Length * Breadth= $84cm^{2}$

Therefore,

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

Because this is a complex equation so I will just go to the next step. You just solve this by the property - (x+a)(x+b) = $x^{2}+(a+b)x+ab$

After this you will get.

$x^{2} +15x+36=84$

From here you can solve.