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Zorluk: ZorUS Customary Linear Measurements

A surveyor is mapping four sections of a property perimeter, with measurements recorded in different US customary unit formats. Arrange these four sections in order from the shortest length to the longest length.

  1. 1Section P: 110\frac{1}{10} mile and 4040 yards
  2. 2Section Q: 219219 yards and 2424 inches
  3. 3Section R: 18\frac{1}{8} mile
  4. 4Section S: 7,9387,938 inches

Cevap

The correct order from shortest to longest is Section P (648 ft), Section Q (659 ft), Section R (660 ft), and Section S (661.5 ft).
To accurately compare these mixed measurements, each value must be mathematically converted to a single common unit, such as feet. Converting yields: Section P = 648 feet, Section Q = 659 feet, Section R = 660 feet, and Section S = 661.5 feet. Sorting these calculated totals produces the correct ascending sequence: Section P, Section Q, Section R, Section S.

Adım Adım Çözüm

1
Convert the length of Section P to a standard unit (feet).
528528 feet + 120120 feet = 648648 feet.
110\frac{1}{10} mile ×5,280\times 5,280 ft/mile = 528528 ft. 4040 yards ×3\times 3 ft/yard = 120120 ft.
2
Convert the length of Section Q to feet.
657657 feet + 22 feet = 659659 feet.
219219 yards ×3\times 3 ft/yard = 657657 ft. 2424 inches ÷12\div 12 inches/ft = 22 ft.
3
Convert the length of Section R to feet.
660660 feet.
18\frac{1}{8} mile ×5,280\times 5,280 ft/mile = 660660 ft.
4
Convert the length of Section S to feet.
661.5661.5 feet.
7,9387,938 inches ÷12\div 12 inches/ft = 661.5661.5 ft.
5
Order the standardized lengths from shortest to longest.
648648 (P) < 659659 (Q) < 660660 (R) < 661.5661.5 (S).
Comparing all converted values in feet determines the correct physical sequence of lengths.

Anahtar Kavram

Converting and comparing mixed US Customary linear measurements (miles, yards, feet, and inches).
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Konular

US Customary Linear Measurements

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