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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)  

234 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)  

144 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)  

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:_______________




4)  

252 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)  

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:_______________




6)  

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:_______________




7)  

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:_______________




8)  

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:_______________




9)  

180 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)  

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:_______________




 

1)  

234 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: 3422 m2


SOLUTION 1 :
Width (m) 1 11 16 23 30 37 44 51 58
Length (m) 116 106 101 94 87 80 73 66 59
Area (m2) 116 1166 1616 2162 2610 2960 3212 3366  3422
Answer (Defined by O) X X X X X X X X O 

 

The largest possible area of the garden is 3422 m2.



2)  

144 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: 1296 m2


SOLUTION 1 :
Width (m) 1 5 9 13 17 21 25 29 36
Length (m) 71 67 63 59 55 51 47 43 36
Area (m2) 71 335 567 767 935 1071 1175 1247 1296
Answer (Defined by O) X X X X X X X X O 

 

The largest possible area of the garden is 1296 m2.



3)  

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.



4)  

252 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: 3969 m2


SOLUTION 1 :
Width (m) 1 7 15 23 31 39 47 55 63
Length (m) 125 119 111 103 95 87 79 71 63
Area (m2) 125 833 1665 2369 2945 3393 3713 3905 3969
Answer (Defined by O) X X X X X X X X O 

 

The largest possible area of the garden is 3969 m2.



5)  

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.



6)  

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.



7)  

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.



8)  

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.



9)  

180 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: 2025 m2


SOLUTION 1 :
Width (m) 1 7 15 20 25 30 35 40 45
Length (m) 89 83 75 70 65 60 55 50 45
Area (m2) 89 581 1125 1400 1625 1800 1925 2000 2025
Answer (Defined by O) X X X X X X X X O 

 

The largest possible area of the garden is 2025 m2.



10)  

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.