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Problem 1

Tammy is estimating how much she should charge for painting 148 rooms in a new motel with one coat of base paint and one coat of finishing paint. The four walls and the ceiling of each room must be painted. Each room measures \(14 \mathrm{ft}\) by \(16 \mathrm{ft}\) by \(10 \mathrm{ft}\) high. a. Calculate the total area of all the surfaces to be painted with each coat. Ignore doors and windows. b. One gallon of base paint covers 500 square feet. One gallon of finishing paint covers 250 square feet. How many gallons of each will Tammy need for the job?

Problem 2

Rashad wants to wallpaper the four walls of his bedroom. The room is rectangular and measures 11 feet by 13 feet. The ceiling is 10 feet high. A roll of wallpaper at the store is 2.5 feet wide and 50 feet long. How many rolls should he buy? (Wallpaper is hung from ceiling to floor. Ignore doors and windows.)

Problem 7

Use the Circle Area Conjecture to solve for the unknown measures in Exercises \(1-8 .\) Leave your answers in terms of \(\pi,\) unless the problem asks for an approximation. For approximations, use the \(\pi\) key on your calculator. If \(C=12 \pi\) in., then \(A=?\)

Problem 14

Utopia Park has just installed a circular fountain 8 meters in diameter. The Park Committee wants to pave a 1.5 -meter-wide path around the fountain. If paving costs S10 per square meter, find the cost to the nearest dollar of the paved path around the fountain. (IMAGE CAN'T COPY).

Problem 19

Construct a parallelogram and a point in its interior. Construct segments from this point to each vertex, forming four triangles. Measure the area of each triangle. Move the point to find a location where all four triangles have equal area. Is there more than one such location? Explain your findings.

Problem 20

Sarah is tiling a wall in her bathroom. It is rectangular and measures 4 feet by 7 feet. The tiles are square and measure 6 inches on each side. How many tiles does Sarah need?

Problem 21

In Exercises \(20-23,\) identify each statement as true or false. If true, explain why. If false, give a counterexample. If the measure of each exterior angle of a regular polygon is \(24^{\circ},\) then the polygon has 15 sides.

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