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Length Of Rectangle Is 2 cm More Than 3 Times Its Width. If The Area Of The Rectangle Is 56cm2(squared), Find The Length And Width. 

Sagot :

l= 3x+2
w= x
a= 56cm^2

x(3x+2)= 56
3x^2+2x=56
3x^2+2x-56=0
(3x+14)(x-4)

3x+14= 0        x-4=0
3x=-14            x=4
3     3
x=-4.667
since, we are finding the length and width, we should get the positive one which is
 4

l=3x+2            w=x
   3(4)+2          w=4
   12+2
l=14

a=lw
   14(4)
 =56cm^2