The area of the red square is 16 ft2

The area of the yellow square is 25 ft2
What is the area of the green square?
Responses
A 3 ft 2
B 9 ft 2
C 81 ft 2
D 128 ft 2
E 256 ft2

1 answer

To find the area of the green square, we need to analyze the areas of the red and yellow squares.

  1. The area of the red square is 16 ft², which means its side length is √16 = 4 ft.
  2. The area of the yellow square is 25 ft², which means its side length is √25 = 5 ft.

Given that there is a green square, we can find its area by using the side lengths of the red and yellow squares. The side of the green square could be the combination of the two sides, but without additional information about how the squares are related, we cannot determine the specific area.

However, if we consider the possibility that the green square is larger and placed outside the two squares, one possible approach would be to take the sum of the areas of the red square and the yellow square. This would give:

Area of red square + Area of yellow square = 16 + 25 = 41 ft².

But none of the choices match 41 ft², so we consider a geometrical arrangement.

Since we look for a match in the provided options, we need to think about common ratios or geometric patterns. Assuming any of these configurations leads to finding possible relationships, an optimal and direct approach will yield:

A green square that has a larger area compared to the individual given squares most likely matches to the maximum area.

None of the significance of the squares gives definite information; however, among the choices provided, the area that scales linearly bigger, following the numerically larger square, would follow as:

The area of the green square is likely 81 ft² (C) which is the next whole square above the maximum area calculated.

Thus, the answer is:

C: 81 ft².