91Ó°ÊÓ

The lengths of the sides of a triangle are three consecutive integers. If the perimeter of the triangle is \(24 \mathrm{cm},\) what are the lengths of the three sides?

Set up an inequality and solve it. Be sure to clearly label what the variable represents. If the width of a rectangle is 10 meters and the perimeter is not to exceed 120 meters, how large can the length be?

The first side of a triangle is 10 in. more than the second side. If the third side is 3 times as long as the second side and the perimeter is 45 in., find the lengths of the three sides.

The length of a rectangle is 6 more than the width. If the width is increased by 10 while the length is tripled, the new rectangle has a perimeter that is 56 more than the original perimeter. Find the original dimensions of the rectangle.

Set up an inequality and solve it. Be sure to clearly label what the variable represents. The length of a rectangle is 18 in. If the perimeter is to be at least 50 in. but not greater than 70 in., what is the range of values for the width?

The length of a rectangle is 2 less than 3 times the width. If the width is tripled while the length is decreased by \(2,\) the new perimeter is 12 more than the original perimeter. Find the original dimensions.

Set up an inequality and solve it. Be sure to clearly label what the variable represents. Marc earns a yearly bonus of \(1.6 \%\) of all sales he makes during the year in excess of \(\$ 82,000 .\) Determine what Marc's annual sales must be to earn a yearend bonus of at least \(\$ 1,800\).

An electrician charges \(\$ 45\) per hour for her time and \(\$ 24\) per hour for her assistant's time. On a certain job the assistant worked alone for 4 hours preparing the site, and then the electrician and her assistant completed the job together. If the total labor bill for the job was \(\$ 464,\) how many hours did the electrician work?

Two trains leave cities 300 miles apart at 10: 00 A.M., traveling toward each other. One train travels at \(60 \mathrm{mph}\), and the other train travels at \(90 \mathrm{mph}\). At what time do they pass each other?

Two people leave by car from the same location, traveling in opposite directions. One leaves at 2: 00 P.M., driving at \(55 \mathrm{kph}\), and the other leaves at 3: 00 P.M., driving at 45 kph. At what time will they be 280 kilometers apart?