If a storm window has an area of 400 square inches, what are the dimensions if the window is 12 inches wider than it is high?
1 Answer
width height
Explanation:
Let
Then the width will be
Since area is width x height we have:
This is equal to 400 sq".
So:
We can write this as:
Remove bracket by multiplying it by
Solving using quadratic formula:
So;:
We can ignore
So dimensions are:
width height
These will have to be approximate values because of the nature of the square roots. It looks a bit intimidating and most of this work could have been avoided and the answer found solely by calculator, but was done for clarity.