WAYNE STATE UNIVERSITY MATH PROGRAM AT WESTERN INTERNATIONAL HIGH SCHOOL
ALGEBRA II HOMEWORK 65 WINTER 2010 NAZELLI
Name:_______________________________________
Date:________________________
Show all your work. Do not use a calculator to get your answers. You can, and should, use a
calculator to check your answers.
1. What is the area, in square inches, of a triangle with a height of 3 inches and a base 1 inch
long?
A.
3
2
B. 3
C. 3
D. 4
E. 6
2. The hypotenuse of a right triangle is 12 cm long. The shorter leg is 5cm long. What is the
length, in centimeters, of the other leg of this triangle?
A.
B.
C.
D.
E.
7
8
10
17
119
3. In right triangle
A
ABC below, what is the area?
12
B
13
C
A. 78
B. 6 5
C. 13 / 2
D. 30
E. none of the above
4. What is the area, in square units, of the trapezoid graphed below?
(-2,2).
.
(-4,-1)
A. 16
.(3,2)
.
(3,-1)
1
2
B. 18
C. 24
D. 27
E. 33
5. The width of a rectangle is 4 cm less than the length. If a new rectangle is formed by
decreasing the length 3 cm and increasing the width 5 cm, the area of this resulting
rectangle is 21 square centimeters greater than that of the original rectangle. What is the
perimeter of this new rectangle?
A. 96 cm
B. 117 cm
C. 40 cm
D. 44 cm
E. 33 cm