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  1. You are planning to buy a new couch for your family room. Before you leave for the furniture store, you measure the available space and conclude that the couch should be between 5’ - 10” and 6’ - 8” long. At the store you find a couch that you like. The specification sheet on the couch indicates that that the couch is 78 inches long.

AWhat are the limits on the couch length in inches?

BWhat is the length of the couch in feet and inches? Hint: Convert the measurement to decimal feet first.

CWill the couch fit into the available space?

Verified Answer :

MissPhiladelphia

First, convert feet to inches. The ' denotes foot measurement while the " denotes inches. Since there are 12 inches in a foot,

5'10" = (512) + 10 = 70 inches
6'8" = (612) + 8 = 80 inches

a.) The lower limit is 70 inches while the upper limit is 80 inches.
b.) First, divide 78 inches by 12. That would 6.5 or 6 and a half feet. Since half foot is 6 inches, the length of the couch is 6'-6"
c.) Since the couch is between the limits, yes it would fit the space.