In Figure 1, the area of square A is 9 square units, the area of square B is 16 square units, and the area of square C is 25 square units.
In Figure 2, the area of D is 36 square units and the area of square W is 64 square units.
What is the area of square F in Figure 2?
The area of square F in Figure 2 can be found by looking at the relation between the areas of squares in both figures.
If the area of square A is 9 square units and the area of square B is 16 square units, then the ratio of their areas is 9:16.
Likewise, if the area of square B is 16 square units and the area of square C is 25 square units, then the ratio of their areas is 16:25.
Based on these ratios, we can find the area of square F in Figure 2, which corresponds to square A in Figure 1.
Square F has an area that is 2 times the area of square E and square E has an area that is 2 times the area of square D.
Given that the area of D is 36 square units, then the area of E is 2 * 36 = 72 square units, and the area of F is 2 * 72 = 144 square units.
Therefore, the area of square F in Figure 2 is 144 square units.