SOLUTION: The area of the floor of the rectangular room shown in the figure is 243 square feet. The length of the room is 4 ½ feet longer than the width. Find the length of the room. ft?

Algebra ->  Rectangles -> SOLUTION: The area of the floor of the rectangular room shown in the figure is 243 square feet. The length of the room is 4 ½ feet longer than the width. Find the length of the room. ft?      Log On


   

Question 464455: The area of the floor of the rectangular room shown in the figure is 243 square feet. The length of the room is 4 ½ feet longer than the width. Find the length of the room.
ft?
Answer by jjordan95(63) About Me  (Show Source):
You can put this solution on YOUR website!
L=W%2B4.5
A=LW
A=%28W%2B4.5%29%28W%29
A=%28W%5E2%2B4.5W%29
243=W%5E2%2B4.5W
W%5E2%2B4.5W-243=0
Using the quadratic formula, you can solve for W, and then substitute this into the first equation to solve for L.