Question

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.

Answer 1

Width =9 cm

Length =6 cm

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