SOLUTION: A rectangle has perimeter 18m. Express the area of the rectangle as a fundtion A(l)of the length l of one of its sides.

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Question 176865: A rectangle has perimeter 18m. Express the area of the rectangle as a fundtion A(l)of the length l of one of its sides.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rectangle's perimeter
1.P=2L%2B2W=18
Rectangle's area
2.A=L%2AW
Use eq. 1 to get W as a function of L.
1.P=2L%2B2W=18
2W=18-2L
W=9-L
Substitute that expression into eq. 2,
2.A%28L%29=L%2A%289-L%29
A%28L%29=9L-L%5E2