Logan is flying a kite that is made yo if three similar rectangles. The sides of the three rectangles are in the ratio 1:2:3. If the area of the smallest rectangle is 72 square inches, what are the areas of the other two rectangles?

To solve the question we need to note that:

area scale factor = (linear scale factor) ^2

linear scale factor=1:2:3

Area scale factor=1^2:2^2:3^2=1:4:9

Hence, given that the area of the smallest triangle is 72 sq. inches, the area of:

medium triangle will be:

4/1*72=288 sq. inches

largest triangle will be:

9/1*72=649 sq. inches