Solve the problem.The perimeter of a rectangle is 48 cm. One side is 10 cm longer than the other side. Find the lengths of the sides.

A. 7 cm, 10 cm
B. 9 cm, 19 cm
C. 14 cm, 24 cm
D. 7 cm, 17 cm

Answer: D

Mathematics

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In the LORAN (LOng RAnge Navigation) radio navigation system, two radio stations located at A and B transmit simultaneous signals to a ship or an aircraft located at P. The onboard computer converts the time difference in receiving these signals into a distance difference |A| - |B|, and this, according to the definition of a hyperbola, locates the ship or aircraft on one branch of a hyperbola (see the figure). Suppose that station B is located L = 480 mi due east of station A on a coastline. A ship received the signal from B 1280 microseconds (?s) before it received the signal from A. Assuming that radio signals travel at a speed of 1000 ft/?s and if the ship is due north of B, how far off the coastline is the ship? Round your answer to the nearest mile.