Question

the length of rectangle exceeds breath by 9cm.if the length and breath are each increase by 3cm.the area of the new rectangle will be 84cm2 more than that the given rectangle. find the length and breath of the given rectangle

Answer 1

Answer:

17 cm and 8 cm

Step-by-step explanation:

Let Length = ( x + 9 ) cm

Let Breadth = x cm

Area of Given Rectangle

= L × B = ( x + 9 ) ( x ) = ( x² + 9x ) cm²

New Length = x + 9 + 3 = ( x + 12 ) cm

New Breadth = ( x + 3 ) cm

Area of New Rectangle

= L × B = ( x + 12 ) ( x + 3 ) = x ( x + 3 ) + 12 ( x + 3 )

= x² + 3x + 12x + 36 = ( x² + 15x + 36 ) cm²

According To Question

x² + 15x + 36 = x² + 9x + 84

15x - 9x = 84 - 36

6x = 48

x = 8

So Length of Given Rectangle = 8 + 9 = 17 cm

Breadth of Given Rectangle = 8 cm