The area of the green square is 9 ft2. The area of the yellow square is 25 ft2.
What is the area of the red square (labelled "b" in the diagram)?
A) 5 ft2
B) 16 ft2
C) 81 ft2
D) 128 ft2
Oh, "ft2" means squared idkk
I did the math and got C. Is it correct ?
Hi!! I know you posted this in 2019, but for anyone who needs the answer still today the answer is 25 ft or A. I got this question right on a test so I know I'm right :)
The answer is 16ft2
is this actually correct?
To find the area of the red square, we need to know the relationship between the areas of the green and yellow squares. Looking at the diagram, we can see that the yellow square is larger than the green square.
The area of a square is found by multiplying the length of one side by itself. So, if we let the side length of the green square be "a" and the side length of the yellow square be "b", then we have:
Area of the green square = a^2
Area of the yellow square = b^2
From the given information, we know that the area of the green square is 9 ft^2 and the area of the yellow square is 25 ft^2. So we can write:
a^2 = 9
b^2 = 25
To find the side lengths, we take the square root of both sides:
a = √9 = 3 ft
b = √25 = 5 ft
Now, to find the area of the red square, we need to determine the relationship between the side lengths of the yellow and red squares. Looking at the diagram, we can see that one side of the red square is equal to the sum of the side lengths of the yellow and green squares (b + a). Thus, the side length of the red square is:
Side length of the red square = (b + a) = (5 ft + 3 ft) = 8 ft
Finally, we can find the area of the red square by squaring its side length:
Area of the red square = (side length)^2 = 8^2 = 64 ft^2
So the correct answer is D) 128 ft^2, not C) 81 ft^2.