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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)  

108 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)  

54 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)  

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:_______________




4)  

342 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)  

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:_______________




6)  

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:_______________




7)  

324 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)  

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:_______________




9)  

288 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)  

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:_______________




 

1)  

108 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: 729 m2


SOLUTION 1 :
Width (m) 1 5 9 14 16 18 21 24 27
Length (m) 53 49 45 40 38 36 33 30 27
Area (m2) 53 245 405  560  608  648  693  720  729
Answer (Defined by O) X X X X X X X X O 

 

The largest possible area of the garden is 729 m2.



2)  

54 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: 182 m2


SOLUTION 1 :
Width (m) 1 3 5 7 9 10 11 12 13
Length (m) 26 24 22 20 18 17 16 15 14
Area (m2) 26 72 110 140 162 170 176 180 182
Answer (Defined by O) X X X X X X X X O 

 


The largest possible area of the garden is 182 m2.



3)  

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.



4)  

342 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: 7310 m2


SOLUTION 1 :
Width (m) 1 15 25 35 45 55 65 75 85
Length (m) 170 156 146 136 126 116 106 96 86
Area (m2) 170 2340 3650 4760 5670 6380 6890 7200 7310
Answer (Defined by O) X X X X X X X X O

 


The largest possible area of the garden is 7310 m2.



5)  

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.



6)  

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.



7)  

324 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: 6561 m2


SOLUTION 1 :
Width (m) 1 18 27 36 45 54 63 72 81
Length (m) 161 144 135 126 117 108 99 90 81
Area (m2) 161 2592 3645 4536 5265 5832 6237 6480 6561
Answer (Defined by O) X X X X X X X X O

 


The largest possible area of the garden is 6561 m2.



8)  

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.



9)  

288 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: 5184 m2


SOLUTION 1 :
Width (m) 1 9 18 27 36 45 54 63 72
Length (m) 144 135 126 117 108 99 90 81 72
Area (m2) 144 1215 2268 3159 3888 4455 4860 5103 5184
Answer (Defined by O) X X X X X X X X O

 

The largest possible area of the garden is 5184 m2.



10)  

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.