1.
| Quantity A | Quantity B |
| The area of the shaded region | \(\)36\(\) |
2.
In the rectangular solid above, and What is the area \(\)TU=3, UV=4, VR=2\(\). of the shaded rectangular region?
3. \(\)A, B\(\), and \(\)C\(\) are three rectangles. The length and width of rectangle \(\)A\(\) are \(\)10\(\) percent greater and \(\)10\(\) percent less, respectively, than the length and width of rectangle \(\)C\(\). The length and width of rectangle \(\)B\(\) are \(\)20\(\) percent greater and \(\)20\(\) percent less, respectively, than the length and width of rectangle \(\)C\(\).
| Quantity A | Quantity B |
| The area of rectangle \(\)A\(\) | The area of rectangle \(\)B\(\) |
4.
In the figure above, \(\)ABCD\(\) is a parallelogram.
| Quantity A | Quantity B |
| The area of \(\)ABCD\(\) | \(\)24\(\) |
5. In rectangle \(\)ABCD\(\) below, and Find the following. \(\)AB=5, AF=7, FD=3\(\).
(a) Area of \(\)ABCD\(\)
(b) Area of triangle \(\)AEF\(\)
(c) Length of \(\)BD\(\)
(d) Perimeter of \(\)ABCD\(\)
6. What is the perimeter, in meters, of a rectangular playground \(\)24\(\) meters wide that has the same area as a rectangular playground \(\)64\(\) meters long and \(\)48\(\) meters wide?
(A) \(\)112\(\)
(B) \(\)152\(\)
(C) \(\)224\(\)
(D) \(\)256\(\)
(E) \(\)304\(\)
7. In the figure, \(\)ABCD\(\) is a rectangle, and the area of ∆\(\)ACE\(\) is \(\)10\(\). What is the area of the rectangle?
(A) \(\)18\(\)
(B) \(\)22.5\(\)
(C) \(\)36\(\)
(D) \(\)44\(\)
(E) \(\)45\(\)
8. In the figure, \(\)ABCD\(\) is a parallelogram. Which one of the following is true?
(A) \(\)x < y\(\)
(B) \(\)x > q\(\)
(C) \(\)x > p\(\)
(D) \(\)y > p\(\)
(E) \(\)y > q\(\)
9. The length of a rectangular banner is \(\)3\(\) feet 2 inches, and the width is \(\)2\(\) feet \(\)4\(\) inches. Which one of the following equals the area of the banner?
(A) \(\)5\(\) sq. feet
(B) \(\)5\frac{ 1 }{ 2 }\(\) sq. feet
(C) \(\)6\frac{ 1 }{ 3 }\(\) sq. feet
(D) \(\)7\(\) sq. feet
(E) \(\)7\frac{ 7 }{ 18 }\(\) sq. feet
10. The diagonal length of a square is \(\)14.1\(\) sq. units. What is the area of the square, rounded to the nearest integer?
(A) \(\)96\(\)
(B) \(\)97\(\)
(C) \(\)98\(\)
(D) \(\)99\(\)
(E) \(\)100\(\)
11. In the figure, \(\)ABCD\(\) is a square and \(\)BCP\(\) is an equilateral triangle. What is the measure of \(\)x\(\) ?
(A) \(\)7.5\(\)
(B) \(\)15\(\)
(C) \(\)30\(\)
(D) \(\)45\(\)
(E) \(\)60\(\)
12.
(A) A
(B) B
(C) C
(D) D
(E) E
13. A \(\)1\(\) meter by \(\)1\(\) meter by \(\)1\(\) meter sheet of paper is to be cut into \(\)4\(\) centimeter by \(\)5\(\) centimeter rectangles. How many such rectangles can be cut from the sheet of paper? (\(\)1\(\) meter = \(\)100\(\) centimeters)
14.
| Quantity A | Quantity B |
| The perimeter of the figure | \(\)48\(\) |
15. A 2 foot by \(\)2\(\) foot by \(\)2\(\) foot solid cube is cut into \(\)2\(\) inch by \(\)2\(\) inch by \(\)4\(\) inch rectangular solids. What is the ratio of the total surface area of all the resulting smaller rectangular solids to the surface area of the original cube? (\(\)1\(\) foot = \(\)12\(\) inches)
(A) \(\)2 : 1\(\)
(B) \(\)4 : 1\(\)
(C) \(\)5 : 1\(\)
(D) \(\)8 : 1\(\)
(E) \(\)10 : 1\(\)
Answers:
1 C: The two quantities are equal.
2 10
3 A
4 B
5 (a) \(\)50\(\) (b) \(\)17.5\(\) (c) \(\)5\sqrt { 5 }\(\) (d) \(\)30\(\)
6 E
7 C
8 C
9 E
10 D
11 C
12 B
13 500
14 B
15 E
