Question 1

Find the volume of the composite figure. Round to the nearest hundredth if necessary.
-Cube out of rectangular solid

Accepted Answer

A)  $1092 \mathrm{ft}^{3}$ 
B)  $391 \mathrm{ft}^{3}$ 
C)  $337 \mathrm{ft}^{3}$ 
D)  $33 \mathrm{ft}^{3}$ 
A)  $1092 \mathrm{ft}^{3}$ 
B)  $391 \mathrm{ft}^{3}$ 
C)  $337 \mathrm{ft}^{3}$ 
D)  $33 \mathrm{ft}^{3}$

Question 2

Solve the problem. If necessary, round to the nearest tenth.
-The diagram below shows the side view of a plan for a slanted roof. Find the unknown length in this plan.

Accepted Answer

A)  $252.5 \mathrm{ft}$ 
B)  $5.6 \mathrm{ft}$ 
C)  $12.8 \mathrm{ft}$ 
D)  $22.5 \mathrm{ft}$ 
A)  $252.5 \mathrm{ft}$ 
B)  $5.6 \mathrm{ft}$ 
C)  $12.8 \mathrm{ft}$ 
D)  $22.5 \mathrm{ft}$

Question 3

Find the perimeter or circumference.
-

Accepted Answer

A)  $276 \mathrm{~m}$ 
B)  $76 \mathrm{~m}$ 
C)  $41 \mathrm{~m}$ 
D)  $29 \mathrm{~m}$ 
A)  $276 \mathrm{~m}$ 
B)  $76 \mathrm{~m}$ 
C)  $41 \mathrm{~m}$ 
D)  $29 \mathrm{~m}$

Question 4

Find area of figure. Round to the nearest hundredth if necessary.
- 
(Use 3.14 for $\pi$.)

Accepted Answer

A)  $59.47 \mathrm{ft}^{2}$ 
B)  Not enough data 
C)  $40.23 \mathrm{ft}^{2}$ 
D)  $61.23 \mathrm{ft}^{2}$ 
A)  $59.47 \mathrm{ft}^{2}$ 
B)  Not enough data 
C)  $40.23 \mathrm{ft}^{2}$ 
D)  $61.23 \mathrm{ft}^{2}$

Question 5

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary.
-$\mathrm{b}=12 \mathrm{~cm}, \mathrm{c}=15 \mathrm{~cm}$

Accepted Answer

A)  $a=9 \mathrm{~cm}$ 
B)  $a=3 \mathrm{~cm}$ 
C)  $a=81 \mathrm{~cm}$ 
D)  $a=10 \mathrm{~cm}$ 
A)  $a=9 \mathrm{~cm}$ 
B)  $a=3 \mathrm{~cm}$ 
C)  $a=81 \mathrm{~cm}$ 
D)  $a=10 \mathrm{~cm}$

Question 6

Find area of figure. Round to the nearest hundredth if necessary.
-Find the area of a rectangle measuring $3.8 \mathrm{yd}$ by $13.67 \mathrm{yd}$.

Accepted Answer

A)  $103.892 \mathrm{yd}^{2}$ 
B)  $51.946 \mathrm{yd}^{2}$ 
C)  $17.47 \mathrm{yd}^{2}$ 
D)  $14.44 \mathrm{yd}^{2}$ 
A)  $103.892 \mathrm{yd}^{2}$ 
B)  $51.946 \mathrm{yd}^{2}$ 
C)  $17.47 \mathrm{yd}^{2}$ 
D)  $14.44 \mathrm{yd}^{2}$

Question 7

Find the volume.
-Of a box $4.1 \mathrm{ft} \times 6.2 \mathrm{ft} \times 4.8 \mathrm{ft}$

Accepted Answer

A)  $157.604 \mathrm{ft}^{3}$ 
B)  $142.848 \mathrm{ft}^{3}$ 
C)  $80.688 \mathrm{ft}^{3}$ 
D)  $122.016 \mathrm{ft}^{3}$ 
A)  $157.604 \mathrm{ft}^{3}$ 
B)  $142.848 \mathrm{ft}^{3}$ 
C)  $80.688 \mathrm{ft}^{3}$ 
D)  $122.016 \mathrm{ft}^{3}$

Question 8

Solve the problem. If necessary, round to the nearest tenth.
-A painter leans a ladder against one wall of a house. At what height does the ladder touch the wall?

Accepted Answer

A)  $342 \mathrm{ft}$ 
B)  $26.2 \mathrm{ft}$ 
C)  $29.7 \mathrm{ft}$ 
D)  $4.2 \mathrm{ft}$ 
A)  $342 \mathrm{ft}$ 
B)  $26.2 \mathrm{ft}$ 
C)  $29.7 \mathrm{ft}$ 
D)  $4.2 \mathrm{ft}$

Question 9

Find area of figure. Round to the nearest hundredth if necessary.
-Find the area of a rectangle measuring $12 \frac{1}{3} \mathrm{mi}$ by $10 \frac{2}{3} \mathrm{mi}$.

Accepted Answer

A)  $46 \mathrm{mi}^{2}$ 
B)  $23 \mathrm{mi}^{2}$ 
C)  $131 \frac{5}{9} \mathrm{mi}^{2}$ 
D)  $120 \frac{2}{9} \mathrm{mi}^{2}$ 
A)  $46 \mathrm{mi}^{2}$ 
B)  $23 \mathrm{mi}^{2}$ 
C)  $131 \frac{5}{9} \mathrm{mi}^{2}$ 
D)  $120 \frac{2}{9} \mathrm{mi}^{2}$

Question 10

Solve the problem.
-Mel plans to fence his yard for his new puppy. The yard is a $49 \mathrm{ft}$ by $62 \mathrm{ft}$ rectangle. Fencing costs $\$ 13$ per $10 \mathrm{ft}$ section. What is the cost of the fence not including unused fencing?

Accepted Answer

A)  $\$ 577.20$ 
B)  $\$ 144.30$ 
C)  $\$ 127.40$ 
D)  $\$ 288.60$ 
A)  $\$ 577.20$ 
B)  $\$ 144.30$ 
C)  $\$ 127.40$ 
D)  $\$ 288.60$

Question 11

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary.
-$b=6 \mathrm{yd}, \mathrm{c}=12 \mathrm{yd}$

Accepted Answer

A)  $a=6 y d$ 
B)  $\mathrm{a} \approx 8.5 \mathrm{yd}$ 
C)  $\mathrm{a} \approx 10.4 \mathrm{yd}$ 
D)  $\mathrm{a} \approx 4.2 \mathrm{yd}$ 
A)  $a=6 y d$ 
B)  $\mathrm{a} \approx 8.5 \mathrm{yd}$ 
C)  $\mathrm{a} \approx 10.4 \mathrm{yd}$ 
D)  $\mathrm{a} \approx 4.2 \mathrm{yd}$

Question 12

Find the shaded area.
-

Accepted Answer

A)  $135 \mathrm{ft}^{2}$ 
B)  $63 \mathrm{ft}^{2}$ 
C)  $13.5 \mathrm{ft}^{2}$ 
D)  $121.5 \mathrm{ft}^{2}$ 
A)  $135 \mathrm{ft}^{2}$ 
B)  $63 \mathrm{ft}^{2}$ 
C)  $13.5 \mathrm{ft}^{2}$ 
D)  $121.5 \mathrm{ft}^{2}$

Question 13

Find the perimeter. Use 3.14 for $\pi$ when needed.
-

Accepted Answer

A)  $54.871 \mathrm{~km}$ 
B)  $130.089 \mathrm{~km}$ 
C)  $157.052 \mathrm{~km}$ 
D)  $71.042 \mathrm{~km}$ 
A)  $54.871 \mathrm{~km}$ 
B)  $130.089 \mathrm{~km}$ 
C)  $157.052 \mathrm{~km}$ 
D)  $71.042 \mathrm{~km}$

Question 14

Choose the appropriate sketch for the indicated geometric object.
-Line segment $\overline{\mathrm{UV}}$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

Find area of figure. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  274 in. ${ }^{2}$ 
B)  $319 \mathrm{in.}{ }^{2}$ 
C)  231 in. ${ }^{2}$ 
D)  $264 \mathrm{in.}{ }^{2}$ 
A)  274 in. ${ }^{2}$ 
B)  $319 \mathrm{in.}{ }^{2}$ 
C)  231 in. ${ }^{2}$ 
D)  $264 \mathrm{in.}{ }^{2}$

Question 16

Choose the appropriate sketch and description for the indicated geometric object.
-Scalene $\triangle A B C$

Accepted Answer

A)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ are the same length   
B)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ have different lengths
  
C)  $\overline{\mathrm{AB}}, \overline{\mathrm{AC}}$ are the same length   
D)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ have different lengths; $\angle \mathrm{B}=90^{\circ}$
  
A)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ are the same length   
B)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ have different lengths
  
C)  $\overline{\mathrm{AB}}, \overline{\mathrm{AC}}$ are the same length   
D)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ have different lengths; $\angle \mathrm{B}=90^{\circ}$

Question 17

Find the measure of the missing angle(s).
-

Accepted Answer

A)  $x=132^{\circ} y=48^{\circ}$ 
B)  $x=122^{\circ} y=58^{\circ}$ 
C)  $x=58^{\circ} y=122^{\circ}$ 
D)  $x=32^{\circ} y=148^{\circ}$ 
A)  $x=132^{\circ} y=48^{\circ}$ 
B)  $x=122^{\circ} y=58^{\circ}$ 
C)  $x=58^{\circ} y=122^{\circ}$ 
D)  $x=32^{\circ} y=148^{\circ}$

Question 18

Use a proportion to solve the problem. Round to the nearest tenth as needed.
-Find the height of the building. Assume that the height of the person is $5 \mathrm{ft}$.

Accepted Answer

A)  $23.4 \mathrm{ft}$ 
B)  $45 \mathrm{ft}$ 
C)  $304.2 \mathrm{ft}$ 
D)  $63 \mathrm{ft}$ 
A)  $23.4 \mathrm{ft}$ 
B)  $45 \mathrm{ft}$ 
C)  $304.2 \mathrm{ft}$ 
D)  $63 \mathrm{ft}$

Question 19

Find the missing length to the nearest tenth.
-

Accepted Answer

A)  $c=625 \mathrm{~m}$ 
B)  $\mathrm{c}=312.5 \mathrm{~m}$ 
C)  $c=5.9 \mathrm{~m}$ 
D)  $\mathrm{c}=25.0 \mathrm{~m}$ 
A)  $c=625 \mathrm{~m}$ 
B)  $\mathrm{c}=312.5 \mathrm{~m}$ 
C)  $c=5.9 \mathrm{~m}$ 
D)  $\mathrm{c}=25.0 \mathrm{~m}$

Question 20

Solve the problem.
-A farmer's field is a square $176 \mathrm{yd}$ on each side. What is the radius of the largest crop circle which can be made in the field? Round to the nearest hundredth when necessary.

Accepted Answer

A)  $88 \mathrm{ft}$ 
B)  $352 \mathrm{yd}$ 
C)  $176 \mathrm{yd}$ 
D)  $44 \mathrm{ft}$ 
A)  $88 \mathrm{ft}$ 
B)  $352 \mathrm{yd}$ 
C)  $176 \mathrm{yd}$ 
D)  $44 \mathrm{ft}$

Find the volume of the composite figure. Round to the nearest hundredth if necessary. -Cube out of rectangular solid

Solve the problem. If necessary, round to the nearest tenth. -The diagram below shows the side view of a plan for a slanted roof. Find the unknown length in this plan.

Find the perimeter or circumference. -

Find area of figure. Round to the nearest hundredth if necessary. - $Find area of figure. Round to the nearest hundredth if necessary. - (Use 3.14 for \pi .)$ (Use 3.14 for $\pi$ .)

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. - $\mathrm{b}=12 \mathrm{~cm}, \mathrm{c}=15 \mathrm{~cm}$

Find area of figure. Round to the nearest hundredth if necessary. -Find the area of a rectangle measuring $3.8 \mathrm{yd}$ by $13.67 \mathrm{yd}$ .

Find the volume. -Of a box $4.1 \mathrm{ft} \times 6.2 \mathrm{ft} \times 4.8 \mathrm{ft}$

Solve the problem. If necessary, round to the nearest tenth. -A painter leans a ladder against one wall of a house. At what height does the ladder touch the wall?

Find area of figure. Round to the nearest hundredth if necessary. -Find the area of a rectangle measuring $12 \frac{1}{3} \mathrm{mi}$ by $10 \frac{2}{3} \mathrm{mi}$ .

Solve the problem. -Mel plans to fence his yard for his new puppy. The yard is a $49 \mathrm{ft}$ by $62 \mathrm{ft}$ rectangle. Fencing costs $\$ 13$ per $10 \mathrm{ft}$ section. What is the cost of the fence not including unused fencing?

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. - $b=6 \mathrm{yd}, \mathrm{c}=12 \mathrm{yd}$

Find the shaded area. -

Find the perimeter. Use 3.14 for $\pi$ when needed. - $Find the perimeter. Use 3.14 for \pi when needed. -$

Choose the appropriate sketch for the indicated geometric object. -Line segment $\overline{\mathrm{UV}}$

Find area of figure. Round to the nearest hundredth if necessary. -

Choose the appropriate sketch and description for the indicated geometric object. -Scalene $\triangle A B C$

Find the measure of the missing angle(s). -

Find the missing length to the nearest tenth. -

Solve the problem. -A farmer's field is a square $176 \mathrm{yd}$ on each side. What is the radius of the largest crop circle which can be made in the field? Round to the nearest hundredth when necessary.

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Exam 11: Basic Geometry