Scroll:Measurement >> Area >> ps (756)


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)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.


cm2


Answer:_______________




2)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



cm2


Answer:_______________




3)  

Figure B is a square. 
Figure A has the same perimeter as Figure B. 
Find the area of Figure B.



cm2


Answer:_______________




4)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



cm2


Answer:_______________




5)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.


cm2


Answer:_______________




6)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



cm2


Answer:_______________




7)  

Figure B is a square. 
Figure A has the same perimeter as Figure B. 
Find the area of Figure B.



cm2


Answer:_______________




8)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



cm2


Answer:_______________




9)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.


cm2


Answer:_______________




10)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



cm2


Answer:_______________




 

1)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.


Answer: 72.25 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 2 + 2 + 2 + 3 + 7 + 3 + 3 + 12 = 34 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 34 cm ÷ 4 = 8.5 cm
Step 3: Since Figure B is a square, find the area of Figure B : 8.5 x 8.5 = 72.25 cm2

The area of Figure B is 72.25cm2.



2)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



Answer: 64 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 2 + 2 + 2 + 2 + 6 + 4 + 4 + 10 = 32 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 32 cm ÷ 4 = 8 cm
Step 3: Since Figure B is a square, find the area of Figure B : 8 x 8 = 64 cm2

The area of Figure B is 64 cm2.



3)  

Figure B is a square. 
Figure A has the same perimeter as Figure B. 
Find the area of Figure B.



Answer: 169 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 2 + 2 + 2 + 14 + 5 + 3 + 3 + 21 = 52 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 52 cm ÷ 4 = 13 cm
Step 3: Since Figure B is a square, find the area of Figure B : 13 x 13 = 169cm2

The area of Figure B is 169 cm2.



4)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



Answer: 169 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 3 + 3 + 3 + 8 + 7 + 5 + 5 + 18 = 52 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 52cm ÷ 4 = 13 cm
Step 3: Since Figure B is a square, find the area of Figure B : 13 x 13 = 169 cm2

The area of Figure B is 169 cm2.



5)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.


Answer: 72.25 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 2 + 2 + 2 + 3 + 7 + 3 + 3 + 12 = 34 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 34 cm ÷ 4 = 8.5 cm
Step 3: Since Figure B is a square, find the area of Figure B : 8.5 x 8.5 = 72.25 cm2

The area of Figure B is 72.25cm2.



6)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



Answer: 64 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 2 + 2 + 2 + 2 + 6 + 4 + 4 + 10 = 32 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 32 cm ÷ 4 = 8 cm
Step 3: Since Figure B is a square, find the area of Figure B : 8 x 8 = 64 cm2

The area of Figure B is 64 cm2.



7)  

Figure B is a square. 
Figure A has the same perimeter as Figure B. 
Find the area of Figure B.



Answer: 169 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 2 + 2 + 2 + 14 + 5 + 3 + 3 + 21 = 52 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 52 cm ÷ 4 = 13 cm
Step 3: Since Figure B is a square, find the area of Figure B : 13 x 13 = 169cm2

The area of Figure B is 169 cm2.



8)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



Answer: 169 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 3 + 3 + 3 + 8 + 7 + 5 + 5 + 18 = 52 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 52cm ÷ 4 = 13 cm
Step 3: Since Figure B is a square, find the area of Figure B : 13 x 13 = 169 cm2

The area of Figure B is 169 cm2.



9)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.


Answer: 72.25 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 2 + 2 + 2 + 3 + 7 + 3 + 3 + 12 = 34 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 34 cm ÷ 4 = 8.5 cm
Step 3: Since Figure B is a square, find the area of Figure B : 8.5 x 8.5 = 72.25 cm2

The area of Figure B is 72.25cm2.



10)  

Figure B is a square.
Figure A has the same perimeter as Figure B.
Find the area of Figure B.



Answer: 64 cm2


SOLUTION 1 :

Step 1: Perimeter of Figure A : 2 + 2 + 2 + 2 + 6 + 4 + 4 + 10 = 32 cm
Step 2: Since Perimeter of Figure B is the same as Figure A, find one length of Figure B : 32 cm ÷ 4 = 8 cm
Step 3: Since Figure B is a square, find the area of Figure B : 8 x 8 = 64 cm2

The area of Figure B is 64 cm2.