Question

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?

Answer 1

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.

Answer 2

(8/3)² = 320/A where A is the area of the smaller polygon

64/9 = 320/A

Solve for A.