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Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

90 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




2)  

306 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




3)  

162 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




4)  

36 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




5)  

72 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




6)  

64 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




7)  

88 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




8)  

270 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




9)  

126 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




10)  

198 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

m2


Answer:_______________




 

1)  

90 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 506 m2


SOLUTION 1 :
Width (m) 1 3 5 8 11 14 17 20 22
Length (m) 44 42 40 37 34 31 28 25 23
Area (m2) 44 126  200  296  374  434  476  500  506 
Answer (Defined by O) X X X X X X X X O 

 


The largest possible area of the garden is 506 m2.



2)  

306 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 5852 m2


SOLUTION 1 :
Width (m) 1 6 16 26 36 46 56 66 76
Length (m) 152 147 137 127 117 107 97 87 77
Area (m2) 152 882 2192 3302 4212 4922 5432 5742 5852
Answer (Defined by O) X X X X X X X X O

 

The largest possible area of the garden is 5852 m2.



3)  

162 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 1640 m2


SOLUTION 1 :
Width (m) 1 5 10 15 20 25 30 35 40
Length (m) 80 76 71 66 61 56 51 46 41
Area (m2) 80 380 710 990 1220 1400 1530 1610 1640
Answer (Defined by O) X X X X X X X X O 

 

The largest possible area of the garden is 1640 m2.



4)  

36 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 81 m2


SOLUTION 1 :
Width (m)123456789
Length (m)17161514131211109
Area (m2)173245 56 65 72 77 80 81 
Answer (Defined by O)XXXXXXXXO 

 

The largest possible area of the garden is 81 m2.



5)  

72 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 324 m2


SOLUTION 1 :
Width (m) 1 3 5 7 9 11 13 15 18
Length (m) 35 33 31 29 27 25 23 21 18
Area (m2) 35 99  155  203  243  275  299  315  324 
Answer (Defined by O) X X X X X X X X O 

 

The largest possible area of the garden is 324 m2.



6)  

64 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 256 m2


SOLUTION 1 :
Width (m) 1 3 5 7 9 11 13 14 16
Length (m) 31 29 27 25 23 21 19 18 16
Area (m2) 31 87 135 175 207 231 247 252 256
Answer (Defined by O) X X X X X X X X O 

 

The largest possible area of the garden is 256 m2.



7)  

88 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 484 m2


SOLUTION 1 :
Width (m) 1 4 7 10 13 15 18 20 22
Length (m) 43 40 37 34 31 29 26 24 22
Area (m2) 43 160 259 340 403 435 259 480 484
Answer (Defined by O) X X X X X X X X O 

 


The largest possible area of the garden is 484 m2.



8)  

270 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 4556 m2


SOLUTION 1 :
Width (m) 1 11 19 27 35 43 51 59 67
Length (m) 132 124 116 108 100 92 84 76 68
Area (m2) 132 1364 2204 2916 3500 3956 4284 4484 4556
Answer (Defined by O) X X X X X X X X O

 

The largest possible area of the garden is 4556 m2.



9)  

126 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 992 m2


SOLUTION 1 :
Width (m) 1 5 10 13 16 19 22 25 31
Length (m) 62 58 53 50 47 44 41 38 32
Area (m2) 62  290 530 650 752 836 902 950 992
Answer (Defined by O) X X X X X X X X O 

 

The largest possible area of the garden is 992 m2.



10)  

198 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden (Assuming that the length and width of the garden is a whole number.)

Answer: 2450 m2


SOLUTION 1 :
Width (m) 1 7 13 19 25 31 37 43 49
Length (m) 98 92 86 80 74 68 62 56 50
Area (m2) 98 644 1118 1520 1850 2108 2294 2408 2450
Answer (Defined by O) X X X X X X X X O 

 


The largest possible area of the garden is 2450 m2.