TAILIEUCHUNG - Barron's How to Prepare for the SAT 23rd Edition (2008) _05

Tham khảo tài liệu 'barron's how to prepare for the sat 23rd edition (2008) _05', ngoại ngữ, toefl - ielts - toeic phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 340 Math Strategies and Tactics Testing Tactics Draw a Diagram. Of course you could have set up the equation and solved it without the diagram but the drawing makes the solution easier and you are less likely to make a careless mistake. On any geometry question for which a figure is not provided draw one as accurately as possible in your test booklet. Drawings should not be limited however to geometry questions there are many other questions on which drawings will help. Whether you intend to solve a problem directly or to use one of the tactics described in this chapter drawing a diagram is the first step. Example 4. The diagonal of square II is equal to the perimeter of square I. The area of square II is how many times the area of square I A 2 B 2V2 C 4 D W2 E 8 A good drawing requires no artistic ability. Usually a few line segments are sufficient. Let s consider some examples. Example 2. What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1 Solution. Don t even think of answering this question until you have drawn a square and a rectangle and labeled each of them each side of the square is 1 and if the width of the rectangle is w its length f is 2w. 1 -------- 2w 1 1 P 4 w w P 6w -------- 2w 1 It is certainly possible to answer this question without drawing a diagram but don t. Get in the habit of always drawing a diagram for a geometry problem. Often a good drawing will lead you to the correct solution other times as you will see here it prevents you from making a careless error or it allows you to get the right answer even if you don t know how to solve the problem. Solution. Draw a small square square I and next to it mark off a line segment equal in length to the perimeter of the square 4 times the side of the square . Then draw a second square square II whose diagonal is equal to the length of the line segment. 1 I Now write the required equation and solve it . . 4_2 4 6w 4 w 2w . 6

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