146 CHAPTER 1 Equations and Inequalities 1.5 Exercises CONCEPT PREVIEW Answer each question. 1. Area of a Parking Lot For the rectangular parking area shown, with x in yards, which one of the following equations says that the area is 40,000 yd2? 2x + 200 x A. x12x + 2002 = 40,000 B. 2x + 212x + 2002 = 40,000 C. x + 12x + 2002 = 40,000 D. x2 + 12x + 20022 = 40,0002 2. Diagonal of a Rectangle If a rectangle is r feet long and s feet wide, which expression represents the length of its diagonal in terms of r and s? A. 2rs B. r + s C. 2r 2 + s2 D. r 2 + s2 3. Sides of a Right Triangle To solve for the lengths of the right triangle sides, which equation is correct? A. x2 = 12x - 222 + 1x + 422 B. x2 + 1x + 422 = 12x - 222 C. x2 = 12x - 222 - 1x + 422 D. x2 + 12x - 222 = 1x + 422 4. Area of a Picture The mat and frame around the picture shown measure x inches across. Which equation says that the area of the picture itself is 600 in.2? A. 2134 - 2x2 + 2121 - 2x2 = 600 B. 134 - 2x2121 - 2x2 = 600 C. 134 - x2121 - x2 = 600 D. x13421212 = 600 5. Volume of a Box A rectangular piece of metal is 5 in. longer than it is wide. Squares with sides 2 in. long are cut from the four corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 64 in.3? s r Diagonal x 2x – 2 x + 4 21 in. 34 in. x in. x in. 2 2 2 2 2 2 2 2 x x + 5 2 x – 4 x + 1 A. 1x + 121x - 42122 = 64 B. x1x + 52122 = 64 C. 1x + 121x - 42 = 64 D. x1x + 52 = 64
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