Composition of Area + HW #6 Name: Date

Composition of Area + HW #6

Name:

Date:

Classwork: Questions #1-10 HW #6: 11-20

1.

The accompanying diagram shows a square with

side y inside a square with side x.

3.

In the accompanying diagram, a circle with radius

4 is inscribed in a square.

What is the area of the shaded region?

Which expression represents the area of the shaded

region?

A.

x2

C.

y2

B.

x2

D. x2

7.07

B.

9.42

C.

16

C.

64p

8

B.

16

D. 16

16

8

y2

What is the approximate circumference of a circle

with radius 3?

A.

64

y2

4.

2.

A.

18.85

D. 28.27

page 1

The accompanying diagram represents a scale

drawing of the property where Brendan's business

is located. He needs to purchase rock salt to melt

the ice on the parking lot (shaded area) around his

building. A bag of rock salt covers an area of

1,500 square feet. How many bags of rock salt

does Brendan need to purchase to salt the entire

parking lot?

5.

7.

In the accompanying

diagram

of ^ABC, altitude

p

p

BD = 4 6 and AC = 5 2. Find the area of the

triangle to the nearest tenth of a square unit.

In the gure below, ABCD is a square and

semicircle O has a radius of 6.

What is the area of the gure?

6.

In the diagram below of ^ ABC, DE is a

midsegment of ^ABC, DE = 7, AB = 10, and

BC = 13. Find the perimeter of ^ABC.

8.

page 2

A.

36 + 6

B.

36 + 18

C.

144 + 18

D. 144 + 36

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.

Composition of Area + HW #6

9.

12.

In the diagram of ^ ABC below, AB = 10, BC = 14,

and AC = 16. Find the perimeter of the triangle

formed by connecting the midpoints of the sides

of ^ABC.

A gure consists of a square and a semicircle, as

shown in the diagram below.

If the length of a side of the square is 6, what is

the area of the shaded region?

10.

A.

36

3

B.

36

C.

36

6

D. 36

4:5

9

Luis is going to paint a basketball court on his

driveway, as shown in the diagram below. This

basketball court consists of a rectangle and a

semicircle.

13.

In parallelogram BFLO, OL = 3:8, LF = 7:4, and

mOO = 126. If diagonal BL is drawn, what is the

area of ^BLF?

A.

11.4

B.

14.1

C.

22.7

D. 28.1

Which expression represents the area of this

basketball court, in square feet?

11.

A.

80

B.

C.

80 + 16

D. 80 + 64

14.

80 + 8

What is the circumference of a circle whose radius

is 6?

A.

The area of a triangle is 24 square centimeters. If

the base of this triangle is 8 centimeters, nd the

number of centimeters in the altitude.

15.

page 3

6

B.

12

C.

36

D. 3

The area of a circle is 36 . What is the radius of

the circle?

Composition of Area + HW #6

16.

17.

If one side of a regular octagon is represented

by 2x 1, the perimeter of the octagon can be

represented by

A.

12x

1

B.

16x

1

C.

12x

6

D. 16x

8

18.

In the accompanying diagram, right triangle ABC

with the right angle at B is inscribed in circle O,

AC is a diameter. BC = 12 centimeters, and

AB = 9 centimeters. Find the area of the shaded

region to the nearest square centimeter.

19.

In the accompanying diagram, right triangle ABC

is inscribed in a circle, BA is a diameter,

BC = 6 centimeters, and AC = 8 centimeters. Find

the area of the shaded portion to the nearest tenth

of a square centimeter. [Use = 3:14.]

Triangle ABC has coordinates A( 6; 2), B( 3; 6),

and C(5; 0). Find the perimeter of the triangle.

Express your answer in simplest radical form.

[The use of the grid below is optional.]

page 4

Composition of Area + HW #6

20.

The gure shown below is composed of two

rectangles and a quarter circle.

What is the area of this

square centimeter?

gure, to the nearest

A.

C.

33

B.

37

44

D. 58

page 5

Composition of Area + HW #6

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