POW #15 - Geometry 2013
Page 1 of 7
Teacher: Ms. Williams
Name: ____________________________________
3.
1.
Express, in terms of π, the area of a circle whose
radius is 6.
1. 6 + π
2. 6π
In rectangle ABCD, the ratio of AB:BC is 4:3. The
perimeter of the rectangle is 56 centimeters.
3. 36π
4. 360π
--------------
2.
The area of a rectangle is represented by 32x3. If the
length of this rectangle is 4x, then the width is
(a) AB =
1.
2.
3.
4.
16x2
16x3
8x2
8x3
centimeters
(b) BD =
centimeters
(c) To the nearest square centimeter, the area of
--------------
circle O =
square centimeters
(d) To the nearest square centimeter, the area of the
shaded region =
square centimeters
--------------
4.
In the diagram, ABCD is a quadrilateral, AD = x, AB
= x + 1, BC = 9, and DC = 2x + 5.
Find the value of x if the perimeter of quadrilateral
ABCD is 35.
1. −1
2. 3
3. 5
4. 7
--------------
http://www.castlelearning.com/review/teacher/AssignmentPrinting.aspx
3/1/2013
POW #15 - Geometry 2013
Page 2 of 7
5.
7.
In the diagram, parallelogram ABCD has vertices A
(2, 1), B(8, 1), C(11, 5), and D(5, 5).
In the diagram of ∆ABC,
CD = 8y.
⊥
, AB = 12y, and
What is the area of parallelogram ABCD?
1. 12
2. 24
The area of ∆ABC can be expressed as
3. 40
4. 48
1.
2.
3.
4.
--------------
6.
96y2
48y2
24y2
20y2
--------------
In the diagram, two concentric circles have radii of 9
and 5, respectively.
8.
Find the area of a right triangle whose legs have
lengths 6 and 8.
In terms of π, the area of the shaded region is
1. 56π
2. 16π
3. 8π
4. 4π
1. 10
2. 14
3. 24
4. 28
--------------
9.
--------------
In the diagram, ABCD is a rectangle with E a point
on
, EC = 5, BE = 13, and AB = 20.
The area of trapezoid ABED is
square units.
--------------
http://www.castlelearning.com/review/teacher/AssignmentPrinting.aspx
3/1/2013
POW #15 - Geometry 2013
Page 3 of 7
10.
13.
In the diagram, circle O is inscribed in rectangle
If the circumference of a circle is 10π inches, what is
ABCD. Radius
is drawn to
, CD = 21 inches,
the area, in square inches, of the circle?
and OP = 8 inches.
1. 10π
2. 25π
3. 50π
4. 100π
--------------
14.
The plan of a parcel of land is represented by
trapezoid ABCD in the accompanying diagram. If the
area of ∆ABE is 600 square feet, find the minimum
number of feet of fence needed to completely enclose
the entire parcel of land, ABCD.
Figure 1
To the nearest integer, the area of the shaded region
is
square inches.
--------------
11.
What is the circumference of a circle whose area is
16π?
Answer:
feet
--------------
1. 64π
2. 32π
3. 8π
4. 4π
--------------
12.
In rhombus ABCD, the measure of angle A and the
measure of angle B are in the ratio 2:1, AB = 2x + 8,
and BC = 5x - 10.
(a) m ∠ A =
and m ∠ B =
.
(b) The perimeter of rhombus ABCD is
units.
--------------
http://www.castlelearning.com/review/teacher/AssignmentPrinting.aspx
3/1/2013
POW #15 - Geometry 2013
Page 4 of 7
15.
17.
The plot of land illustrated in the accompanying
diagram has a perimeter of 34 yards.
In the accompanying diagram, the perimeter of
∆MNO 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.
Find the length, in yards, of each side of the figure.
Answer:
x+3=
yards
3x - 1 =
yards
4x =
yards
units
--------------
18.
In the diagram below, the circumference of circle O
Could these measures actually represent the measures is 16π inches. The length of
is three-quarters of
and CE = 4 inches.
the length of diameter
of the sides of a triangle? [Y/N]
Calculate the area, in square inches, of trapezoid
ABCD.
-------------16.
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.
Answer:
square inches
--------------
area =
square feet
--------------
http://www.castlelearning.com/review/teacher/AssignmentPrinting.aspx
3/1/2013
POW #15 - Geometry 2013
19.
Page 5 of 7
21.
A figure is made up of a rectangle and a semicircle as Which number is not used when calculating the area
shown in the diagram below.
of this triangle?
1. 7
2. 9
3. 16
What is the area of the figure, to the nearest tenth of a
square centimeter?
1. 39.4 3. 48.8
22.
2. 44.1 4. 58.3
--------------
--------------
Ryan is having two walls painted. The small wall is
11 feet by 17 feet. The larger wall is twice as long
20.
and twice as wide. A painter charges by the square
foot for the walls. The cost of the smaller wall is $25.
In the diagram below, MATH is a rectangle, GB = 4.6, How much should Ryan expect to pay for the larger
MH = 6, and HT = 15.
wall?
1. $30
2. $50
3. $75
4. $100
--------------
What is the area of polygon MBATH?
1. 34.5
2. 55.5
3. 90.0
4. 124.5
--------------
http://www.castlelearning.com/review/teacher/AssignmentPrinting.aspx
3/1/2013
POW #15 - Geometry 2013
23.
Page 6 of 7
24.
Tim forgot how to find the area of a parallelogram. Which two triangles have the same area?
He knows how to find the area of triangles and
rectangles, so he drew two lines to separate the
parallelogram into those familiar shapes. Use Tim’s
measurements to help him find the area of the
parallelogram.
1. 132 m2
2. 96 m2
3. 36 m2
4. 288 m2
--------------
1. A and B
2. C and D
3. A and C
4. B and D
--------------
http://www.castlelearning.com/review/teacher/AssignmentPrinting.aspx
3/1/2013
POW #15 - Geometry 2013
Page 7 of 7
25.
In the graph below, the area of the rectangle is _____
square units larger than the area of the blue trapezoid.
1. 30
2. 40
3. 10
4. 5
--------------
http://www.castlelearning.com/review/teacher/AssignmentPrinting.aspx
3/1/2013