Scroll:Measurement >> Length >> saq (608)


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)  

A 92-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 7 cm by 11 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




2)  

A 36-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 5 cm by 7 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




3)  

A 62-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 8 cm by 9 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




4)  

A 50-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 9 cm by 12 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




5)  

A 32-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 5 cm by 7 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




6)  

A 72-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 10 cm by 12 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




7)  

A 100-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 6 cm by 10 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




8)  

A 112-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 7 cm by 9 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




9)  

A 110-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 6 cm by 7 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




10)  

A 126-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 7 cm by 8 cm and the other piece was used to form a square.

What is the length of one side of the square

cm



Answer:_______________




 

1)  

A 92-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 7 cm by 11 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 14 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 7 + 11 + 7 + 11 = 36 cm
Step 2: Length of other piece of rope : 92 - 36 = 56 cm
Step 3: Length of square : 56 ÷ 4 = 14 cm

The length of one side of the square is 14 cm.



2)  

A 36-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 5 cm by 7 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 3 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 5 + 7 + 5 + 7 = 24 cm
Step 2: Length of other piece of rope : 36 - 24 = 12 cm
Step 3: Length of square : 12 ÷ 4 = 3 cm

The length of one side of the square is 3 cm.



3)  

A 62-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 8 cm by 9 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 7 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 8 + 9 + 8 + 9 = 34 cm
Step 2: Length of other piece of rope : 62 - 34 = 28 cm
Step 3: Length of square : 28 ÷ 4 = 7 cm

The length of one side of the square is 7 cm.



4)  

A 50-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 9 cm by 12 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 2 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 9 + 12 + 9 + 12 = 42 cm
Step 2: Length of other piece of rope : 50 - 42 = 8 cm
Step 3: Length of square : 8 ÷ 4 = 2 cm

The length of one side of the square is 2 cm.



5)  

A 32-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 5 cm by 7 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 2 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 5 + 7 + 5 + 7 = 24 cm
Step 2: Length of other piece of rope : 32 - 24 = 8 cm
Step 3: Length of square : 8 ÷ 4 = 2 cm

The length of one side of the square is 2 cm.



6)  

A 72-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 10 cm by 12 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 7 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 10 + 12 + 10 + 12 = 44 cm
Step 2: Length of other piece of rope : 72 - 44 = 28 cm
Step 3: Length of square : 28 ÷ 4 = 7 cm

The length of one side of the square is 7 cm.



7)  

A 100-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 6 cm by 10 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 17 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 6 + 10 + 6 + 10 = 32 cm
Step 2: Length of other piece of rope : 100 - 32 = 68 cm
Step 3: Length of square : 68 ÷ 4 = 17 cm

The length of one side of the square is 17 cm.



8)  

A 112-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 7 cm by 9 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 20 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 7 + 9 + 7 + 9 = 32 cm
Step 2: Length of other piece of rope : 112 - 32 = 80 cm
Step 3: Length of square : 80 ÷ 4 = 20 cm

The length of one side of the square is 20 cm.



9)  

A 110-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 6 cm by 7 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 21 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 6 + 7 + 6 + 7 = 26 cm
Step 2: Length of other piece of rope : 110 - 26 = 84 cm
Step 3: Length of square : 84 ÷ 4 = 21 cm

The length of one side of the square is 21 cm.



10)  

A 126-cm long piece of rope was cut into 2 pieces.

One piece was used to form a rectangle 7 cm by 8 cm and the other piece was used to form a square.

What is the length of one side of the square

Answer: 24 cm



SOLUTION 1 :

Step 1: Perimeter of rectangle : 7 + 8 + 7 + 8 = 30 cm
Step 2: Length of other piece of rope : 126 - 30 = 96 cm
Step 3: Length of square : 96 ÷ 4 = 24 cm

The length of one side of the square is 24 cm.