SOLUTION: The length, 18 meters, is the answer to the following question. "the length of a rectangle is 3 meters longer than its width. the area of the rectangle is 270 square meters. what

Algebra ->  Equations -> SOLUTION: The length, 18 meters, is the answer to the following question. "the length of a rectangle is 3 meters longer than its width. the area of the rectangle is 270 square meters. what      Log On


   

Question 1090799: The length, 18 meters, is the answer to the following question. "the length of a rectangle is 3 meters longer than its width. the area of the rectangle is 270 square meters. what is the length of the rectangle: Rework this problem: Write an equation using L as the length in meters of the rectangle that would lead to the solution of the problem. Check your answer by substituting 18 for L in the equation.
Found 2 solutions by jorel1380, josgarithmetic:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let w be the width. Then the length would be w+3. So:
w(w+3)=270
w²+3w-270=0
(w+18)(w-15)=0
w=-18 or 15
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Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
L, length
w, width
L=w+3, meaning w=L-3.

highlight_green%28L%28L-3%29=270%29
L%5E2-3L-270=0
%28L%2B15%29%28L-18%29=0
The meaningful solution is L=18.

The WIDTH will be 15 meters.