Scroll:Measurement >> Area >> ps (3129)

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)  

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:_______________




2)  

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:_______________




3)  

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:_______________




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)  

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:_______________




6)  

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:_______________




7)  

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:_______________




8)  

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:_______________




9)  

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:_______________




10)  

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:_______________




 

1)  

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.



2)  

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.



3)  

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.



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)  

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.



6)  

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.



7)  

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.



8)  

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.



9)  

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.



10)  

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.