# A square‘s sides are tripled producing an area of 81 square feet. What is the ratio of the area of the original square to the transformed square?

Nov 21, 2015

${3}^{2} : 1$

#### Explanation:

If you triple the sides, the area will increase by ${3}^{2} = 9$

The new square has sides $= 9$ and area $= 9 \times 9 = 81$

The original square has sides $= 3$ and area $= 3 \times 3 = 9$

hope that helped