Question

The area of the green square is 9 ft2 and The area of the red square is 16 ft2

What is the area of the yellow square?

Answer 1

To find the area of the yellow square, we need to know the relationship between the green and red square.

If the green square is completely inside the red square, such that all sides of the green square are touching the sides of the red square, then the yellow square would be formed by extending the sides of the green square to touch the sides of the red square.

In this case, the yellow square would have sides equal to the sum of the sides of the green and red square.

Since the area of the green square is 9 ft^2, each side of the green square would be √9 = 3 ft long.

The area of the red square is 16 ft^2, so each side of the red square would be √16 = 4 ft long.

Therefore, the side length of the yellow square would be 3 + 4 = 7 ft.

The area of the yellow square is then 7^2 = 49 ft^2.

So, the area of the yellow square is 49 ft^2.