The linear scale factor of two similar shapes is 2:5. If the area of the smaller shapes is 120 cm2, what is the area of the bigger shape?
We can set up a proportion to solve this problem:
2/5 = x/120
To solve for x, we can cross-multiply:
2*120 = 5x
240 = 5x
x = 48
Therefore, the area of the bigger shape is 48 * 25 = 1200 cm2.