We need to find the length, l, and the width, w. Let's set up the two equations with the information found in the question:
l = 2w - 3
w = w
A = 44
We know that area is equal to length * width (
), so let's substitute those values
And we know that the area is equal to
:
Now we set equal to 0 and factor in order to get w:
Then we set each factor equal to zero and solve for w. We get the two values:
and
for w.
We know that the width cannot be negative, so we take the value that is positive,
So now we know that w =
, so we plug in this value into the equation for the length:
So we now know that
the length is 8, and the width is .