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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)  

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:_______________




2)  

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:_______________




3)  

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:_______________




4)  

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:_______________




5)  

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:_______________




6)  

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:_______________




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)  

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:_______________




9)  

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:_______________




10)  

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:_______________




 

1)  

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.



2)  

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.



3)  

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.



4)  

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.



5)  

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.



6)  

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.



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)  

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.



9)  

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.



10)  

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.