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)  

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:_______________




2)  

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:_______________




3)  

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:_______________




4)  

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:_______________




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)  

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:_______________




7)  

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:_______________




8)  

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:_______________




9)  

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:_______________




10)  

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:_______________




 

1)  

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.



2)  

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.



3)  

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.



4)  

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.



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)  

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.



7)  

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.



8)  

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.



9)  

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.



10)  

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.