SOLUTION: The length of a rectangle is 5 inches more than twice the width. The area of the rectangle is 102 inches square. How long is the rectangle?
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Question 205643: The length of a rectangle is 5 inches more than twice the width. The area of the rectangle is 102 inches square. How long is the rectangle?
Found 2 solutions by Earlsdon, Targetweek:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
1) "The length (L) of a rectangle is 5 more than twice its width (W)."
2) sq.in. "The area of the rectangle is 102 inches square."
What is L?
Substitute the L from equation 1) into equation 2) and solve for W.
Subtract 102 from both sides.
Factor this quadratic equation.
Apply the zero product rule.
or which means that...
or Discard the negative solution as the width, W, must be a positive value.
inches and...
inches.
Answer by Targetweek(62) (Show Source): You can put this solution on YOUR website!
First we'll start with what formula to use
1. Since the length of a rectangle is 5 inches more than twice the width we can write the following equation
2. Now we have two equations in a system of equations
and
3. First substitute the 2nd equation into the 1st
- then simplify
- next factor the equation
- then set each factor equal to 0 and solve for W
and
and
amd
- Because we can't have a negative side length the only answer is 6
4. So W = 6 and now plug W into the 2nd equation
5. So L = 17
The final answer is W = 6, L = 17
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