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A vacant rectangular lot is being turned into a community vegetable garden measuring 15 meters by 12 meters. A path of uniform width is to surround the garden. If the area of the lot is 378 square meters, find the width of the path surrounding the garden.

As part of a landscaping project, you put in a flower bed measuring 20 feet by 30 feet. To finish off the project, you are putting in a uniform border of pine bark around the outside of the rectangular garden. You have enough pine bark to cover 336 square feet. How wide should the border be?

Add or subtract as indicated. $$\frac{2 x+3}{3 x-6}-\frac{3-x}{3 x-6}$$

A 20 -foot ladder is 15 feet from a house. How far up the house, to the nearest tenth of a foot, does the ladder reach?

The base of a 30 -foot ladder is 10 feet from a building. If the ladder reaches the flat roof, how tall, to the nearest tenth of a foot, is the building?

A rectangular piece of land whose length its twice its width has a diagonal distance of 64 yards. How many yards, to the nearest tenth of a yard, does a person save by walking diagonally across the land instead of walking its length and its width?

Find each product. $$(x-3)^{2}$$

Rationalize the denominator. $$\frac{2}{\sqrt{10}}$$

A group of friends agrees to share the cost of a \(\$ 480,000\) vacation condominium equally. Before the purchase is made, four more people join the group and enter the agreement. As a result, each person's share is reduced by \(\$ 32,000 .\) How many people were in the original group?

Use the formula Time traveled \(=\frac{\text { Distance traveled }}{\text { Average velocity }}\) A car can travel 300 miles in the same amount of time it takes a bus to travel 180 miles. If the average velocity of the bus is 20 miles per hour slower than the average velocity of the car, find the average velocity for each.