Final answer:
The student's mathematics question requires locating points B and D for a rectangle with an area of 20 square units and a width of 1.25 cm. Points B and D should be 16 units to the right of points A and C, respectively, based on the calculated length. Correct answer is not present.
Step-by-step explanation:
The problem presented is a mathematical question involving the calculation of the positions for points B and D of a rectangle, given that the area is 20 square units and the width has been measured as 1.25 cm. To solve for B and D, we first need to find the length of the rectangle. Given that the area (A) is equal to the length (L) times the width (W), we can write the equation as:
A = L × W
Substituting the given values:
20 = L × 1.25
To find the length L, divide the area by the width:
L = 20 / 1.25 = 16
Since the rectangle's width is 1.25, and its length is 16, we can plot points B and D. Given that the width of the rectangle is the vertical dimension, points B and D must both be horizontally aligned and 16 units to the right of points A and C, respectively.
Using the provided plot on the right, if the line starts at (0,2) and ends at (3,2), this represents the width of the rectangle, and thus the length must extend horizontally from these points. Consequently, B and D should be located 16 units to the right. As 1 cm is equivalent to 1 unit in this context, point B should be at (1+16, 3) = (17, 3) and point D at (1+16, 2) = (17, 2).
However, none of the provided options match the calculated positions. It seems like there might be a mistake in the question or the options provided. A correct option is not present; therefore, it's important to review the question or check with the instructor for the correct dimensions or options.