# If the sides of a square is increased by 3cm, the area becomes 64 cm^2. How do you find the length of a side of the original square?

##### 1 Answer

Oct 6, 2015

The original size was

#### Explanation:

Let

We know that if the side is increased by

#a >=0# because#a# is a geometrical dimension and they are never negative.- The area of square with 3 cm longer sides is
#64 cm^2# , so we can write#(a+3)^2=64#

Since we are only looking for positive values of

Now after substracting