the ratio of the lengths of the corresponding sides of two rectangles is 8:3. The area of the larger rectangle is 320 ft2. What is the area of the smaller rectangle?

Question

directrix · Answer

If two polygons are similar, the square of the scale factor of the two polygons is equal to the ratio of any two corresponding area measurements of the polygons.

directrix · Answer

(8/3)² = 320/A where A is the area of the smaller polygon

64/9 = 320/A

Solve for A.