Question

Jerome and his brother Jake are painting on square canvases. Let x represent the side length of Jake's canvas. If Jerome's canvas has a side length twice that of Jake's canvas, what is the difference in area between Jerome and Jakes canvases?

Answer 1

3
`x^(2)`

Explanation:

Jake's canvas is x times x,

which is
`x^(2)`.

Jerome's canvas is 2x times 2x,

which is
`(2x)^(2)` =
`4x^(2)`.

The difference in area would be

`4x^(2) -x^(2)=3x^(2)`