SOLUTION: 8. A rectangle has dimensions x+10 and 2x-3. Determine the value of x that gives an area of 54 cm^2. Thank you!!!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 8. A rectangle has dimensions x+10 and 2x-3. Determine the value of x that gives an area of 54 cm^2. Thank you!!!      Log On


   

Question 197843: 8. A rectangle has dimensions x+10 and 2x-3. Determine the value of x that gives an area of 54 cm^2.
Thank you!!!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The area of a rectangle is the length times the width, so:



Expand the binomials, collect like terms on the left so the quadratic is in standard form, and solve like any other quadratic equation. (Hint: It factors) You will get two roots, as is typical, but one of them will be negative. Since a negative value for a measure of length is absurd, exclude that extraneous root. The desired value will be the positive root.


John