Monday, February 13, 2012

Ashlie's Textbook Questions

12. While shopping online, Ji Hun finds a square rug with the area of 11m squared he needs to know if it will fit his 4m x 5m bedroom.
a) Estimate the side length to the rug to one decimal place.

     sqrt 9  sqrt 11                                                              sqrt 16   
     |-------|-----------------------|-----------------------------|
     3     3.31                                                                   4

b) Check with a calculator.
 sqrt 11 = 3.316
c) Does the rug fit? Explain.
Yes, because the room is 20m and the rug is 11m.
 __________________________
|     _________|____4m___         |
|    |                                      |        |           
|    |                                      |        |                 
|   =     4m x 5m = 20m2     =       |             
|    |                                      | 5m  |             
|    |                                      |        |                      
|    |_________|_________ |        |                       
|__________________________|                  
                                                             
14. Alex is thinking of a number. The number has a square root between 7 and 8 and is a multiple of 12.
a) What could he be thinking of?
   sqrt 49                                             sqrt 60      sqrt 64
     |-------------------------|---------------|----------|
     7                                                  7.74          8 
b) Is there more than one answer?
 No, 60 is the only number between square root that is a multiple of 12.

17. Carmen wants to mount 18cm x 18cm square board that is 4 times the area of the picture.
a) What is the area?
  ____________|_18cm________
 |                                                    |
 |                                                    |  18cm         
 |                                                    |                 
=         18 x 18 = 324cm2             =             
 |                                                    |             
 |                                                    |                      
 |                                                    |                       
 |__________________________|
                          |
b) What is the area of the board?
                                 
  ____________|____324cm_____
 |                                                    |
 |                                                    |         
 |                                                    |  324cm             
=           324 x 324 = 104.9           =             
 |                                                    |             
 |                                                    |                      
 |                                                    |                       
 |__________________________|
                          |
c) What are the dimensions of the board?

  sqrt 324 = 18cm
  ____________|___18cm______
 |                                                    |
 |                                                    |          
 |                                                    | 18cm               
=                                                    =             
 |                                                    |             
 |                                                    |                      
 |                                                    |                       
 |__________________________|
                          |

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