The length of a rectangle exceeds its breadth by 9cm.If the length and breadth are each increased by 3cm,the area of the new rectangle will be 84 cm^2 more than that of the given rectangle. Find the length and breadth of the given rectangle.
Answers
Answered by
25
Plz mark my answer as brainlist. I need it.
Attachments:
Answered by
19
let the length of rectangle be x+9
and breadth be x
if the length and breadth increased by 3cm,
area of rectangle = (x+9)( x) - 84cm²
(x+12) (x+3)= x²+9x + 84 cm²
x²+12+ 3x +36 = x² +9x+ 84cm²
15x -9x = 84-36
6x = 48
x= 8
breadth = 8cm
length = 8+ 9= 17cm
and breadth be x
if the length and breadth increased by 3cm,
area of rectangle = (x+9)( x) - 84cm²
(x+12) (x+3)= x²+9x + 84 cm²
x²+12+ 3x +36 = x² +9x+ 84cm²
15x -9x = 84-36
6x = 48
x= 8
breadth = 8cm
length = 8+ 9= 17cm
Similar questions