Question 1071110

The widths of two similar rectangles have a ratio of 2:6

The area of the smaller rectangle is 12 ft2.

What is the area of the larger rectangle?

I'm not sure how to go about this question. How do you solve it?
<pre>The rectangles' sides are in a ratio of {{{matrix(1,3, 1:3, or, 1/3)}}} (smaller to larger), and so, their areas will be in a ratio of 1<sup>2</sup>:3<sup>2</sup>, or 1:9.
Now, since the smaller rectangle's area is 12 ft<sup>2</sup>, it follows that the larger rectangle's area will be: {{{highlight_green(matrix(1,4, "9(12),", or, 108, ft^2))}}}