Answer
37.4, 38.5
Work Step by Step
We use the information in the problem to find that one side is length x, while the other side is length x+1.1. This gives the area as:
$$ A = 1439.9 = x(x+1.1)$$
$$A= x^2+1.1x-1439.9$$
We know that:
$$ \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$
This gives:
$$ \frac{-1.1 \pm \sqrt{1.1^2-4(1.1)(-1439.9)}}{2(1)}$$
When we simplify, considering only the positive answer, we get:
37.4.
We now find the other length:
37.4 +1.1 = 38.5
