Hey Guys! Im new here and hoping to really get to use this website! Hope you guys could answer my question!

The length of a rectangle is three centimeters less than the width. If the area of the rectangle is 54cm^2, find the dimensions of the rectangle.

Width = 9 cm

Length = 6 cm

Step-by-step explanation:

Let x be width, then length is x - 3

Let area be E. Then we have: E = x ⋅ (x - 3)

54 = x^2-3x

x^2-3x-54=0

We then do the Discriminant of the equation:

D=9+216

D=225

X1=3+15 over 2. which is 9

X2 = 3-15. over 2. which is - 6 Which is declined, since we can't have negative width and length.

Therefore x is 9. So width

So width = x = 9cm and length is x-3 = 9-3cm=6 cm