Welcome to this comprehensive worksheet designed to aid CBSE Class 5 students in mastering the concepts of perimeter and area, pivotal aspects of their mathematics curriculum.
Understanding Perimeter and Area:
Introduction:
Have you ever wondered how much fencing you would need to enclose your dream garden? Or how much carpet you would need to cover your bedroom floor? Well, the answers to these questions lie in two important concepts: perimeter and area! In this fun and engaging worksheet, we will explore these concepts and learn how to use them to measure different shapes.
What is Perimeter?
Imagine you want to walk around the edge of a playground. The total distance you cover is called the perimeter. In simpler words, the perimeter is the “fence” around a shape.
How to Calculate Perimeter:
The perimeter of a shape is the sum of the lengths of all its sides. To find the perimeter, you simply add up the lengths of all the sides!
What is Area?
The area of a shape tells you how much space it covers on a flat surface. Imagine filling a shape with sand or tiles. The amount of sand or tiles you use represents the area.
How to Calculate Area:
The area of a shape depends on its specific shape. For example, the area of a rectangle is calculated by multiplying the length by the width. We will explore different formulas for calculating the area of various shapes in this worksheet.
Practice Worksheet
- What is the perimeter of a square with a side length of 8 cm?
a. 16 cm
b. 24 cm
c. 32 cm
d. 64 cm - The area of a rectangle is 20 cm². If its width is 4 cm, what is its length?
a. 2 cm
b. 5 cm
c. 8 cm
d. 10 cm - Which shape has the greatest area given a fixed perimeter of 20 cm?
a. Square
b. Rectangle (length 8 cm, width 2 cm)
c. Triangle with equal sides
d. Circle - What is the perimeter of a square with a side length of 6 units?
a. 12 units
b. 18 units
c. 24 units
d. 36 units - If the perimeter of a rectangle is 30 cm and its length is 8 cm, what is its width?
a. 5 cm
b. 6 cm
c. 7 cm
d. 8 cm - If the perimeter of a square garden is 28 meters, what is the length of each side?
- Compare the area of a square with a side length of 6 meters to the area of a rectangle with dimensions 4 meters by 9 meters. Which shape has a larger area and by how much?
Real-life Application:
- Imagine a scenario where a farmer needs to fence a rectangular pasture with a length of 20 meters and a width of 15 meters. Calculate:
- The total length of fencing required
- The area of the pasture
- A farmer wants to fence in a rectangular field with a length of 40 meters and a width of 30 meters. How much fencing material does the farmer need in total?
Answer Key
- c
- b
- b
- c) 24 cm
- c) 7 cm
- 7 cm
- i) 70 m ii) 300m2
- 140 cm
Through this worksheet, CBSE Class 5 students have engaged with a range of questions focused on perimeter and area. By solving multiple-choice questions, short-answer questions, and applying concepts to real-life scenarios, students have strengthened their understanding of these fundamental mathematical principles. Practicing such exercises will not only enhance their academic performance but also cultivate critical thinking and problem-solving skills essential for future success in mathematics and beyond.
