Final answer:
The sets of measurements that identify the length, width, and diagonal of a rectangle are 5 ft, 7 ft, 8 ft; 9 ft, 12 ft, 15 ft; and 8 ft, 9 ft, 10 ft.
Step-by-step explanation:
The sets of measurements that identify the length, width, and diagonal of a rectangle are:
a) 5 ft, 7 ft, 8 ft
d) 9 ft, 12 ft, 15 ft
e) 8 ft, 9 ft, 10 ft
In a rectangle, the length is the longest side, the width is the shorter side, and the diagonal connects opposite corners of the rectangle. To identify a rectangle, you need the length, width, and diagonal measurements. Sets a, d, and e include these measurements and therefore identify rectangles.