SOLUTION: The lenght of a five-pound note is 5 mm less than twice the width. The area is 9450 mm sq. Find the dimensions of five-pound note.

Question 548636: The lenght of a five-pound note is 5 mm less than twice the width. The area is 9450 mm sq. Find the dimensions of five-pound note.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the area of a rectangle:
but the length, L, is given as:
"The length...is 5 mm less than twice the width".
and the area, A, is given as sq.mm., so...
Simplify.
Solve this quadratic equation using the quadratic formula: . a = 2, b = -5, and c = -9450
Evaluate this to get:
or Discard the negative solution as width is a positive quantity.
mm and...

mm.
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