A square has side lengths of 4 feet. If the dimensions are tripled, how much larger will the area of the new square be than the area of the original square?

Comment

You can do this just by tripling the side of the square after finding its area.

Given

1 side of the small square = s = 4 feet.

1 side of the larger square = 3 * 4 = 12 feet

Solution

Area_small = s*s = 4 * 4 = 16 feet

Area_large = s*s = 12 * 12 = 144

Area_Large / Area_Small = 144 / 16 = 9

The large square is 9 times large square is 9 times larger than the smaller square.

Note

You enlarged the small square's edge by 3 and the area difference is 3^2 = 9