To find the area of the given square, let's carefully follow the details given in the question:
1. Given Values:
- Length of the side of the square: [tex]\( 5x \)[/tex]
- Width of the side of the square: [tex]\( 2y \)[/tex]
- Given [tex]\( y = 5 \)[/tex]
2. Substitute the value of [tex]\( y \)[/tex]:
- Width: [tex]\( 2y = 2 \times 5 = 10 \)[/tex]
3. Considering the properties of a square:
A square's sides must be equal in length. Since we now know one side's width calculation led to [tex]\( 10 \)[/tex], we'll use this side to determine the area.
4. Calculate the area:
- Side length is equal to [tex]\( 10 \)[/tex]
- Area of a square = side length [tex]\(^2\)[/tex]
- Therefore, the area = [tex]\( 10^2 = 100 \)[/tex]
Thus, the correct answer is:
D. 100
