SOLUTION: The length of a rectangular frame is 7cm more than the width. The area inside the the frame is 98 square cm. Find the width of the frame.

Question 184287: The length of a rectangular frame is 7cm more than the width. The area inside the the frame is 98 square cm. Find the width of the frame.
Answer by MathGuyJoe(20) (Show Source): You can put this solution on YOUR website!
Let L = Length of rectangle
Let W = Width of rectangle

We know: "The length of a rectangular frame (L) is (=) 7cm more than (+) the width (W)" -> Equation 1:
We also know: "The area inside the frame (L x W) is (=) 98 square cm" -> Equation 2:

Next, we can use Equation 1 to substitute (7 + W) for L in Equation 2:

Substitute:

Distribute the W:

Move everything to the left-hand side:

Factor the quadratic:

Solve:

Since a width cannot be negative, that leaves us with Width = 7cm.
To check our answer, calculate our length by substituting back into Equation 1:

Next, ensure the area is 98 square cm:

Hope this helps. ~ Joe
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