The diagonal lengths of three rectangles are shown . The rectangles are not drawn to scale . Which list shows the rectangles in order by their diagonal lengths from shortest to longest ?

Answer:
B. Rectangle T, Rectangle P, Rectangle S.
Step-by-step explanation:
To determine which list shows the correct order of the length of the diagonals of the rectangles from shortest to longest, let all the lengths be in decimal form:
Rectangle P = 6.7 cm
Rectangle S = [tex] \frac{34}{5} cm [/tex] = 6.8 cm
Rectangle T = [tex] \sqrt{36.5} cm [/tex] ≈ 6.04
Thus:
6.04 cm < 6.7 cm < 6.8 cm
Therefore, from the shortest to the longest, we have:
Rectangle T < Rectangle P < Rectangle S.
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