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.

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