SOLUTION: a rectangular garage that has an area of 198 ft, the length is 7 ft longer than the width, what is the length of the garage.?

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Question 862707: a rectangular garage that has an area of 198 ft, the length is 7 ft longer than the width, what is the length of the garage.?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
A rectangle has an area A, and the length L is k longer than the width w. What is L, or find a formula for L.

Unknown variables are w and L.

and ; using this formula for L, .
Returning to the area relationship,



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The numbers and , so the usage of signs for the solution for L are unmistakable. Use the solution for the general solution to a quadratic equation with the positive square root form.
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You can make the substitutions of k=7 and A=198 and compute L.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

a rectangular garage that has an area of 198 ft, the length is 7 ft longer than the width, what is the length of the garage.?

Let width's measurement be W
Then length = W + 7
Therefore, W(W + 7) = 198

Solve for W, or width, discarding the negative (< 0) value
Add 7 to the value of W, or width to determine value of length
You can do the check!!
If you need a complete and detailed solution, let me know!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
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