JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap

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Math A & B Regents Exam Questions by Prentice Hall Chapter - Geometry Page 26 www.jmap.org 185. Keesha wants to tile the floor shown in the accompanying diagram. If each tile measures 1 foot by 1 foot and costs $2.99, what will be the total cost, including an 8% sales tax, for tiling the floor? 187. A rectangular garden is going to be planted in a person's rectangular backyard, as shown in the accompanying diagram. Some dimensions of the backyard and the width of the garden are given. Find the area of the garden to the nearest square foot. 186. In the figure below, the large rectangle, ABCD, is divided into four smaller rectangles. The area of rectangle AEHG = 5 x , the area of rectangle GHFB = 2x 2 , the area of rectangle HJCF = 6 x , segment AG = 5, and segment AE = x. a Find the area of the shaded region. b Write an expression for the area of the rectangle ABCD in terms of x. 188. Mr. James wanted to plant a garden that would be in the shape of a rectangle. He was given 80 feet of fencing to enclose his garden. He wants the length to be 10 feet more than twice the width. What are the dimensions, in feet, for a rectangular garden that will use exactly 80 feet of fencing? 189. In the accompanying diagram, the perimeter of is equal to the perimeter of square ABCD. If the sides of the triangle are represented by 4x + 4, 5x - 3, and 17, and one side of the square is represented by 3x, find the length of a side of the square.
Math A & B Regents Exam Questions by Prentice Hall Chapter - Geometry Page 27 www.jmap.org 190. A homeowner wants to increase the size of a rectangular deck that now measures 15 feet by 20 feet, but building code laws state that a homeowner cannot have a deck larger than 900 square feet. If the length and the width are to be increased by the same amount, find, to the nearest tenth, the maximum number of feet that the length of the deck may be increased in size legally. 191. Chad had a garden that was in the shape of a rectangle. Its length was twice its width. He decided to make a new garden that was 2 feet longer and 2 feet wider than his first garden. If x represents the original width of the garden, which expression represents the difference between the area of his new garden and the area of the original garden? [A] x 2 + 3x + 2 [B] 8 [C] 6x + 4 [D] 2x 2 192. A small, open-top packing box, similar to a shoebox without a lid, is three times as long as it is wide, and half as high as it is long. Each square inch of the bottom of the box costs $0.008 to produce, while each square inch of any side costs $0.003 to produce. Write a function for the cost of the box described above. Using this function, determine the dimensions of a box that would cost $0.69 to produce. 194. Sean knows the length of the base, b, and the area, A, of a triangular window in his bedroom. Which formula could he use to find the height, h, of this window? [A] h b gb g = 2A b [B] h A = 2b A [C] h = 2 [D] h = 2 A − b b 195. If the midpoints of the sides of a triangle are connected, the area of the triangle formed is what part of the area of the original triangle? [A] 3 8 [B] 1 3 [C] 1 2 [D] 1 4 196. On the accompanying set of axes, graph and label the following lines: y = 5 x = −4 5 y = x + 5 4 Calculate the area, in square units, of the triangle formed by the three points of intersection. GEOMETRY <strong>CHAPTER</strong> 5-2 193. What is the perimeter of an equilateral triangle whose height is 2 3 ? [A] 6 [B] 12 [C] 6 3 [D] 12 3
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JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap

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