# When 15m is added to two opposite sides of a square and 5m is added to the other sides, the area of the resulting rectangle is 441m^2. How do you find the length of the sides of the original square?

##### 1 Answer

Feb 3, 2016

Length of original sides:

#### Explanation:

Let

We are told

Therefore

Applying the quadratic formula:

(with a bit of arithmetic)

we get:

but since the length of a side must be

only