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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)  

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:_______________




2)  

216 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)  

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:_______________




4)  

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:_______________




5)  

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:_______________




6)  

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:_______________




7)  

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:_______________




8)  

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:_______________




9)  

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:_______________




10)  

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:_______________




 

1)  

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.



2)  

216 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: 2916 m2


SOLUTION 1 :

 



Width (m) 1 9 18 24 30 36 42 48 54
Length (m) 107 99 90 84 78 72 66 60 54
Area (m2) 107 891 1620 2016 2340 2592 2772 2880 2916
Answer (Defined by O) X X X X X X X X O 

 


The largest possible area of the garden is 2916 m2.



3)  

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.



4)  

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.



5)  

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.



6)  

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.



7)  

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.



8)  

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.



9)  

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.



10)  

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.