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Worksheet: Perimeter and Area of Plane Figures | Mathematics Class 6 ICSE PDF Download

A. Multiple Choice Questions

Q1. The perimeter of a rectangle with length l and breadth b is:
(a) l + b 
(b) 2l + b 
(c) l + 2b 
(d) 2(l + b)

Q2. A square has side 8 cm. Its perimeter is:
(a) 16 cm 
(b) 24 cm 
(c) 32 cm 
(d) 64 cm

Q3. An equilateral triangle has side 9 cm. Its perimeter is:
(a) 18 cm 
(b) 27 cm 
(c) 36 cm 
(d) 45 cm

Q4. Which of the following is a correct unit of area?
(a) cm 
(b) m 
(c) cm² 
(d) km

Q5. A square’s area is 81 cm². Its perimeter is:
(a) 18 cm 
(b) 27 cm 
(c) 36 cm 
(d) 81 cm

B. Short Answer Questions

Q6. Find the perimeter of a quadrilateral with side lengths 7 cm, 9 cm, 6 cm, and 8 cm.

Q7. The perimeter of a square garden is 1.2 m. Find the length of each side (in cm).

Q8. Find the area of a rectangle with length 13 cm and breadth 9 cm.

Q9. A rectangle has area 84 cm² and breadth 7 cm. Find its length and perimeter.

Q10. Convert 2.5 m to cm. Then find the perimeter of a rectangle with length 2.5 m and breadth 80 cm (answer in cm).

C. Long Answer Questions

Q11. The perimeter of a rectangular field is 94 m. The length of the field is twice its breadth plus 5 m. Find the length, breadth, and area of the field.

Q12. A rectangular room is 6 m long and 4 m wide. Square tiles of side 20 cm are used to cover the floor. How many tiles are needed to cover the floor completely?

Q13.  A rectangle has length 30 m and breadth 10 m.
(a) Find its perimeter and area.
(b) Make a square with the same perimeter. Find its side and area.
(c) Compare the areas. Which shape encloses more area with the same boundary length?

You can access the solution this worksheet here

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FAQs on Worksheet: Perimeter and Area of Plane Figures - Mathematics Class 6 ICSE

1. What is the formula for calculating the perimeter of a rectangle?
Ans. The formula for calculating the perimeter of a rectangle is P = 2(length + width), where "length" is the longer side and "width" is the shorter side of the rectangle.
2. How do you find the area of a triangle?
Ans. The area of a triangle can be calculated using the formula A = 1/2(base × height), where "base" is the length of the triangle's base and "height" is the perpendicular distance from the base to the opposite vertex.
3. What is the difference between perimeter and area?
Ans. Perimeter refers to the total distance around the outside of a shape, while area measures the amount of space inside a shape. Perimeter is expressed in linear units, while area is expressed in square units.
4. Can the area of a square be determined if only the perimeter is known?
Ans. Yes, if the perimeter of a square is known, the area can be calculated. First, divide the perimeter by 4 to find the length of one side (s = P/4). Then, use the formula for area (A = s²) to find the area of the square.
5. What units are commonly used to measure area?
Ans. Common units used to measure area include square meters (m²), square centimeters (cm²), square feet (ft²), and acres. The choice of unit depends on the size of the area being measured.
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