JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap
JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap
JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap
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Math A & B Regents Exam Questions by Prentice Hall Chapter - Geometry Page 27<br />
www.jmap.org<br />
190. A homeowner wants to increase the size of a<br />
rectangular deck that now measures 15 feet by<br />
20 feet, but building code laws state that a<br />
homeowner cannot have a deck larger than 900<br />
square feet. If the length and the width are to be<br />
increased by the same amount, find, to the<br />
nearest tenth, the maximum number of feet that<br />
the length of the deck may be increased in size<br />
legally.<br />
191. Chad had a garden that was in the shape of a<br />
rectangle. Its length was twice its width. He<br />
decided to make a new garden that was 2 feet<br />
longer and 2 feet wider than his first garden. If x<br />
represents the original width of the garden, which<br />
expression represents the difference between the<br />
area of his new garden and the area of the<br />
original garden?<br />
[A] x<br />
2<br />
+ 3x<br />
+ 2 [B] 8<br />
[C] 6x + 4<br />
[D] 2x<br />
2<br />
192. A small, open-top packing box, similar to a<br />
shoebox without a lid, is three times as long as it<br />
is wide, and half as high as it is long. Each<br />
square inch of the bottom of the box costs<br />
$0.008 to produce, while each square inch of<br />
any side costs $0.003 to produce.<br />
Write a function for the cost of the box described<br />
above.<br />
Using this function, determine the dimensions of a<br />
box that would cost $0.69 to produce.<br />
194. Sean knows the length of the base, b, and the<br />
area, A, of a triangular window in his bedroom.<br />
Which formula could he use to find the height, h,<br />
of this window?<br />
[A] h<br />
b gb g<br />
= 2A b<br />
[B] h<br />
A<br />
= 2b<br />
A<br />
[C] h = 2 [D] h = 2 A − b<br />
b<br />
195. If the midpoints of the sides of a triangle are<br />
connected, the area of the triangle formed is what<br />
part of the area of the original triangle?<br />
[A] 3 8<br />
[B] 1 3<br />
[C] 1 2<br />
[D] 1 4<br />
196. On the accompanying set of axes, graph and<br />
label the following lines:<br />
y = 5<br />
x = −4<br />
5<br />
y = x + 5<br />
4<br />
Calculate the area, in square units, of the triangle<br />
formed by the three points of intersection.<br />
GEOMETRY <strong>CHAPTER</strong> 5-2<br />
193. What is the perimeter of an equilateral triangle<br />
whose height is 2 3 ?<br />
[A] 6 [B] 12 [C] 6 3 [D] 12 3