Scroll:Measurement >> Perimeter >> saq (1185)

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 is not drawn to scale.)

The figure is made up of Square A of side 8 cm and a Rectangle B with breadth 9 cm and the difference of height between Square A and Rectangle B is 4 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




2)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 9 cm and a Rectangle B with breadth 2 cm and the difference of height between Square A and Rectangle B is 2 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




3)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 6 cm and a Rectangle B with breadth 11 cm and the difference of height between Square A and Rectangle B is 2 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




4)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 4 cm and a Rectangle B with breadth 6 cm and the difference of height between Square A and Rectangle B is 2 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




5)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 6 cm and a Rectangle B with breadth 7 cm and the difference of height between Square A and Rectangle B is 4 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




6)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 8 cm and a Rectangle B with breadth 3 cm and the difference of height between Square A and Rectangle B is 2 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




7)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 3 cm and a Rectangle B with breadth 3 cm and the difference of height between Square A and Rectangle B is 5 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




8)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 6 cm and a Rectangle B with breadth 11 cm and the difference of height between Square A and Rectangle B is 3 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




9)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 6cm and a Rectangle B with breadth 6 cm and the difference of height between Square A and Rectangle B is 5 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




10)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 7 cm and a Rectangle B with breadth 12 cm and the difference of height between Square A and Rectangle B is 4 cm.

Find the area and perimeter of the figure

Area: cm2

Perimeter: cm


Answer:_______________




 

1)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 8 cm and a Rectangle B with breadth 9 cm and the difference of height between Square A and Rectangle B is 4 cm.

Find the area and perimeter of the figure

Area: Answer: 172 cm2

Perimeter: Answer: 58 cm


SOLUTION 1 :

Step 1: Length of rectangle: 8 + 4 = 12 cm

Step 2: Area of square: 8 x 8 = 64 cm2

Step 3: Area of rectangle: 12 x 9 = 108 cm2

Step 4: Area of figure: 64 + 108 = 172 cm2

The area is 172 cm2.

Step 5: Perimeter of figure: 8 + 8 + 8 + 9 + 9 + 4 + 12 = 58 cm

The perimeter is 58 cm.



2)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 9 cm and a Rectangle B with breadth 2 cm and the difference of height between Square A and Rectangle B is 2 cm.

Find the area and perimeter of the figure

Area: Answer: 95 cm2

Perimeter: Answer: 40 cm


SOLUTION 1 :

Step 1: Length of rectangle: 9 - 2 = 7 cm

Step 2: Area of square: 9 x 9 = 81 cm2

Step 3: Area of rectangle: 7 x 2 = 14 cm2

Step 4: Area of figure: 81 + 14 = 95 cm2

The area is 95 cm2.

Step 5: Perimeter of figure: 9 + 9 + 9 + 2 + 2 + 2 + 7 = 40 cm

The perimeter is 40 cm.



3)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 6 cm and a Rectangle B with breadth 11 cm and the difference of height between Square A and Rectangle B is 2 cm.

Find the area and perimeter of the figure

Area: Answer: 80 cm2

Perimeter: Answer: 46 cm


SOLUTION 1 :

Step 1: Length of rectangle: 6 - 2 = 4 cm

Step 2: Area of square: 6 x 6 = 36 cm2

Step 3: Area of rectangle: 4 x 11 = 44 cm2

Step 4: Area of figure: 36 + 44 = 80 cm2

The area is 80 cm2.

Step 5: Perimeter of figure: 6 + 6 + 6 + 11 + 11 + 4 + 2 = 46 cm

The perimeter is 46 cm.



4)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 4 cm and a Rectangle B with breadth 6 cm and the difference of height between Square A and Rectangle B is 2 cm.

Find the area and perimeter of the figure

Area: Answer: 28 cm2

Perimeter: Answer: 28 cm


SOLUTION 1 :

Step 1: Length of rectangle: 4 - 2 = 2 cm

Step 2: Area of square: 4 x 4 = 16 cm2

Step 3: Area of rectangle: 2 x 6 = 12 cm2

Step 4: Area of figure: 16 + 12 = 28 cm2

The area is 28 cm2.

Step 5: Perimeter of figure: 4 + 4 + 4 + 6 + 6 + 2 + 2 = 28 cm

The perimeter is 28 cm.



5)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 6 cm and a Rectangle B with breadth 7 cm and the difference of height between Square A and Rectangle B is 4 cm.

Find the area and perimeter of the figure

Area: Answer: 106 cm2

Perimeter: Answer: 46 cm


SOLUTION 1 :

Step 1: Length of rectangle: 6 + 4 = 10 cm

Step 2: Area of square: 6 x 6 = 36 cm2

Step 3: Area of rectangle: 10 x 7 = 70 cm2

Step 4: Area of figure: 36 + 70 = 106 cm2

The area is 106 cm2.

Step 5: Perimeter of figure: 6 + 6 + 6 + 7 + 6 + 4 +10 = 46 cm

The perimeter is 46 cm.



6)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 8 cm and a Rectangle B with breadth 3 cm and the difference of height between Square A and Rectangle B is 2 cm.

Find the area and perimeter of the figure

Area: Answer: 82 cm2

Perimeter: Answer: 38 cm


SOLUTION 1 :

Step 1: Length of rectangle: 8 - 2 = 6 cm

Step 2: Area of square: 8 x 8 = 64 cm2

Step 3: Area of rectangle: 6 x 3 = 18 cm2

Step 4: Area of figure: 64 + 18 = 82 cm2

The area is 82 cm2.

Step 5: Perimeter of figure: 8 + 8 + 8 + 3 + 3 + 2 + 6 = 38 cm

The perimeter is 38 cm.



7)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 3 cm and a Rectangle B with breadth 3 cm and the difference of height between Square A and Rectangle B is 5 cm.

Find the area and perimeter of the figure

Area: Answer: 33 cm2

Perimeter: Answer: 28 cm


SOLUTION 1 :

Step 1: Length of rectangle: 3 + 5 = 8 cm

Step 2: Area of square: 3 x 3 = 9 cm2

Step 3: Area of rectangle: 8 x 3 = 24 cm2

Step 4: Area of figure: 9 + 24 = 33 cm2

The area is 33 cm2.

Step 5: Perimeter of figure: 3 + 3 + 3 + 3 + 3 + 5 + 8 = 28 cm

The perimeter is 28 cm.



8)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 6 cm and a Rectangle B with breadth 11 cm and the difference of height between Square A and Rectangle B is 3 cm.

Find the area and perimeter of the figure

Area: Answer: 69 cm2

Perimeter: Answer: 46 cm


SOLUTION 1 :

Step 1: Length of rectangle: 6 - 3 = 3 cm

Step 2: Area of square: 6 x 6 = 36 cm2

Step 3: Area of rectangle: 3 x 11 = 33 cm2

Step 4: Area of figure: 36 + 33 = 69 cm2

The area is 69 cm2.

Step 5: Perimeter of figure: 6 + 6 + 6 + 11 + 11 + 3 + 3 = 46 cm

The perimeter is 46 cm.



9)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 6cm and a Rectangle B with breadth 6 cm and the difference of height between Square A and Rectangle B is 5 cm.

Find the area and perimeter of the figure

Area: Answer: 102 cm2

Perimeter: Answer: 46 cm


SOLUTION 1 :

Step 1: Length of rectangle: 6 + 5 = 11 cm

Step 2: Area of square: 6 x 6 = 36 cm2

Step 3: Area of rectangle: 11 x 6 = 66 cm2

Step 4: Area of figure: 36 + 66 = 102 cm2

The area is 102 cm2.

Step 5: Perimeter of figure: 6 + 6 + 6 + 6 + 6 + 5 + 11 = 46 cm

The perimeter is 46 cm.



10)  

(Figure is not drawn to scale.)

The figure is made up of Square A of side 7 cm and a Rectangle B with breadth 12 cm and the difference of height between Square A and Rectangle B is 4 cm.

Find the area and perimeter of the figure

Area: Answer: 85 cm2

Perimeter: Answer: 52 cm


SOLUTION 1 :

Step 1: Length of rectangle: 7 - 4 = 3 cm

Step 2: Area of square: 7 x 7 = 49 cm2

Step 3: Area of rectangle: 3 x 12 = 36 cm2

Step 4: Area of figure: 49 + 36 = 85 cm2

The area is 85 cm2.

Step 5: Perimeter of figure: 7 + 7 + 7 + 12 + 12 + 4 + 3 = 52 cm

The perimeter is 52 cm.