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Lesson 7: Solve Problems Using Diagrams



 1. 

A pool measures 7.5 m by 6.5 m.  The pool is 5.5 m deep.  Around the pool there is a tiled border that measures 9.7 m by 10.2 m.

What is the area of the pool?
a.
41.3 m2
b.
35.8 m2
c.
48.8 m2
d.
56.8 m2
 

 2. 

What is the area of the tiled border?
a.
33.4 m2
b.
50.2 m2
c.
60.1 m2
d.
43.2 m2
 

 3. 

What is the volume of the pool?
a.
415.3 m3
b.
121.2 m3
c.
654.2 m3
d.
268.1 m3
 

 4. 

Jill is making a stained glass window.  The window measures 2.6 m by 2.3 m.  There is a semi-circle attached to the top of the window along the 2.6 m side. 

What is the area of the semi-circle?
a.
2.7 m2
b.
1.2 m2
c.
5.31 m2
d.
4.99 m2
 

 5. 

What is the area of the rectangle?
a.
6.0 m2
b.
4.4 m2
c.
7.6 m2
d.
8.7 m2
 

 6. 

What is the total area of the window?
a.
11.29 m2
b.
53.2 m2
c.
20.1 m2
d.
8.7 m2
 

 7. 

What is the area of a parallelogram that has a base of 4.5 m and a height of 2.1 m?
a.
12.1 m2
b.
9.45 m2
c.
8.7 m2
d.
16.70 m2
 

 8. 

A clock has a minute hand that is 4.5 cm long.  What is the area of the clock’s face?
a.
32.4 cm2
b.
77.5 cm2
c.
63.6 cm2
d.
98.0 cm2
 

 9. 

A picture has an area of 96 cm2.  What is the the length of the picture if the width is 32 cm?
a.
2 cm
b.
3 cm
c.
4 cm
d.
5 cm
 

 10. 

A clock’s face has an area of 475.05 cm2.  What is the length of the minute hand?
a.
12.30 cm
c.
23.35 cm
b.
11.60 cm
d.
43.35 cm
 



 
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