A farmer puts his cow in a fenced area of land to graze. The fenced section of land is 15 ft. by 10 ft. What is the total area of land in which the cow can graze?
Judith works after school at her family's tent company. One of their best selling tents is an A-frame tent that is 4 ft. high and has ab rectangular bottom 4 ft. wide by 6 ft. long. The sides of the tent are 4.5 ft. long. How much canvas is needed to make the tint? (determine the surface area)
A and B together can complete a piece of work in 15 days. A alone undertakes the work. He works for 18 days and leaves the job. Then B alone undertakes the remaining work and completes it in another 10 days. Had A continued the work, how many more days he would have required to complete the work alone?
A window consists of a rectangular piece of clear glass with a semicircular piece of colored glass on top. Suppose that the colored glass transmits only k times as much light per unit area as the clear glass (k is between 0 and 1). If the distance from top to bottom (across both the rectangle and the semicircle) is a fixed distance H, find (in terms of k) the ratio of vertical side to horizontal side of the rectangle for which the window lets through the most light.
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