Question

the lenth of rectangle is greater than twice it's breadth by 2cm.area of rectangle is 24cm^2.find length and breadth​

Answer 1

Answer:

let breadth =x

length = 2+2x

area of rectangle =24cm²

Step-by-step explanation:

area of rectangle= length×breadth

24 = (2+2x)× X

24 = 2x+2x²

0 = 2x²+2x-24

0 = 2(x²+x -12)

0/2 = x² + x-12

0 = x²+4x-3x-12

0 = x(x+4)-3(x+4)

0 = (x+4)(x-3)

X = -4 , 3

breadth = 3 cm

length = 2+2(3)

= 2+6

= 8 cm