By using the definition of similarity and the dimensions of each rectangle, a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5. (Correct choice: C)
How to find the dimensions of a rectangle similar to other rectangle
Two rectangles are similar if both hold the same height to width ratio. Mathematically speaking, the two rectangles must fulfill the following requirement:
b / a = d / c (1)
Where:
- a - Width of the big rectangle.
- b - Height of the big rectangle.
- c - Width of the small rectangle.
- d - Height of the small rectangle.
If a = 50 and b = 80, then the ratio of the second rectangle must be:
d / c = 8 / 5
By direct comparison with any of the four choices, we find that a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5.
To learn more on similar rectangles: https://brainly.com/question/26080352
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