Question

A square with an area of a2 is enlarged to a square with an area of 25a2. How was the side of the smaller square changed?.

Answer 1

a went to 5a in the larger square

Explanation:

The area of a square with a side m is given by
`m^(2)`, since it's sides are all equal. Thus, a square with area
`a^(2)` has sides of a length. The larger square has area 25
`a^(2)`. A side is
`\sqrt{25a^(2) }`, or 5a.

The side of the smaller square, a, was lengthened by a factor of 5, to 5a.