HOW DO YOU SEE IT? The figure shows a large square with an area of
(a) Describe the regions that represent
(b) How can you use the figure to show that
(c) Draw another figure to show that
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Chapter P Solutions
College Algebra
- Enclosing a field You have 16 miles of fence that you will use to enclose a rectangle field. a.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 3 miles and length 5 miles. What is the area of this rectangle? b.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 2 miles and length 6 miles. What is the area of this rectangle? c.The first two parts of this exercise are designed to show you that you can get different areas for the rectangle of the sane perimeter, 16 miles. In general, if you arrange the 16 miles of fence into a rectangle of width w miles, then it will enclose an area of A=w8-w square miles. iMake a graph of the area enclosed as a function of w, and explain what the graph is showing. iiWhat width w should you use to enclose the most area? iiiWhat is the length of the maximum-area rectangle that you made, and what kind of figure do you have?arrow_forwardGeometry An above-ground swimming pool contains 1024 cubic feet of water. The rectangular base of the pool is (x+1) feet by x feet. The height of the water is 4 feet. (a) What are the possible dimensions of the base of the pool? (b) If one cubic foot of water weighs approximately 62.4 pounds, what is the total weight of the water in the pool ?arrow_forwardProducing brass How many ounces of pure zinc must be alloyed with 20 ounces of brass that is 30 zinc and 70 copper to produce brass that is 40 zinc?arrow_forward
- Among all of the pairs of numbers whose sum is 6,find the pair with the largest product. What is theproduct?arrow_forwardThe area of Sandy’s yard is 25x2625ft2 . A patch of sod has an area of x210x+25ft2 . Divide the two areas and simplify to find how many pieces of sod Sandy needs to cover her yard.arrow_forward
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