Important Questions for Class 7 Maths Chapter 9 PDF Download
Ananya Gupta19 Dec, 2024
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Important Questions for Class 7 Maths Chapter 9: Important questions from CBSE Class 7 Maths Chapter 9 Perimeter and Area are highly beneficial for exam preparation. They help reinforce key concepts such as calculating the perimeter and area of rectangles and squares.
By solving these questions students can strengthen their problem-solving skills and become more confident in applying formulas accurately during exams. These questions also cover a range of difficulty levels, providing a comprehensive understanding of the chapter. Practicing them regularly allows students to become adept at recognizing different types of problems and effectively applying appropriate formulas, ensuring better performance in their exams.Important Questions for Class 7 Maths Chapter 9 Overview
Perimeter is the total length around a two-dimensional shape. It measures the distance around the edges of a figure. For rectangles and squares, the perimeter can be calculated using simple formulas:
- For a rectangle, the perimeter P is given by P=2×(length + width).
- For a square, the perimeter P is P=4×P = 4 × side length.
Area is the amount of space enclosed within a two-dimensional shape. It measures the surface covered by the shape. The formulas for calculating area vary depending on the shape:
- For a rectangle, the area A is A=length × width
- For a square, the area A is A= side length × side length.
Important Questions for Class 7 Maths Chapter 9 PDF
The Important Questions for Class 7 Maths Chapter 9 Perimeter and Area PDF is a helpful resource for students aiming to improve their understanding of the concepts covered in this chapter. These questions are created to strengthen problem-solving skills and help students learn how to calculate the perimeters and areas of different shapes, such as rectangles, squares, and triangles. This PDF is a valuable resource for exam preparation allowing students to practice and become more confident in applying these formulas. You can access the PDF through the link provided below for further study and practice.Important Questions for Class 7 Maths Chapter 9 PDF
Important Questions for Class 7 Maths Chapter 9 Perimeter and Area
Here are some important questions from Class 7 Maths Chapter 9 Perimeter and Area along with their solutions:Very Short Answer Questions (1-5)
1. What is the formula for the perimeter of a square?
Answer: P=4s
2. How do you find the area of a rectangle?
Answer: A=l×b
3. What is the formula to find the area of a parallelogram?
Answer: A=b×h
4. What is the perimeter of a rectangle with length 10 cm and breadth 6 cm?
Answer: P=2(l+b)=32cm
Short Answer Questions
1. Find the area of a square park whose perimeter is 480 480 m.
Answer: Given, Perimeter(P)= 480 480 m
s=Side of square
P= 4 × s 4×s
480 480 = 4 × s 4×s
s= 480 4 4804
s= 120 120 m
Area of Square=s2
= ( 120 ) 2 (120)2
= 14 , 400 14,400 sq.m
2. If the perimeter of a rectangle is 390 390 cm and the length is 30 30 cm. Find its breadth in the area.
Answer: Given, Perimeter= 390 390 cm , length= 30 30 cm
B= Breadth
A= Area
P= 2 ( l + b ) 2(l+b)
390 = 2 ( 30 + b ) 390=2(30+b)
390 2 = ( 30 + b ) 3902=(30+b)
195 = ( 30 + b ) 195=(30+b)
b = 195 − 30 b=195−30
b = 165 b=165 cm
A= l × b l×b
A= 30 × 165 30×165
A= 4 , 950 4,950 sq.cm
3. A wire bent in the shape of a rectangle. Its length is 30 30 cm and breadth is 15 15 cm and if the same wire is rebent in the shape of a square. What will be the measure of slides and which encloses more area.
Answer: We know, perimeter of rectangle
P= 2 ( l + b ) 2(l+b)
Where, l=length and b = breadth
= 2 ( 30 + 15 ) 2(30+15)
= 2 ( 45 ) 2(45)
= 90 90 cm
Perimeter of Square= Perimeter of rectangle
90 = 4 s 90=4s s = s i d e s=side
s = 90 4 s=904
s = 22.5 s=22.5 cm
Area of rectangle = l × b l×b
= 30 × 15 30×15
= 450 450 sq. cm
Area of Square=s2
= ( 22.5 ) 2 (22.5)2
= 506.25 506.25 sq.cm
Hence, Square encloses a large area.
Long Answer Questions
1. A rectangular field measures 120 m by 80 m. Find its area and perimeter.
Answer:
Area : 96009600 sq. m
Perimeter : 400400 m
2. A triangular garden has a base of 15 m and a height of 10 m. Calculate its area. Answer: A=75A = 75 sq. m
The length and breadth of a rectangle are 60 m and 40 m respectively. A path of 3 m width is built around it. Find the area of the path.
Answer:
Area of the path : 636636 sq. m
3. A circular garden has a radius of 14 m. Calculate its circumference and area.
Answer:
Circumference : 8888 m
Area : 13841384 sq. m
4. A park is in the shape of a square with each side measuring 20 m. If a path of 3 m wide is constructed around it, find the area of the path.
Answer:
Area of the path : 276276 sq. m
5. The length and breadth of a rectangular piece of land are 350 350 m and 150 150 m respectively.
Find
a. The area
Answer: We know,
Area of garden = l × b l×b
l=length
b= Breadth
= 350 × 150 350×150
= 52 , 500 52,500 sq. m
b. The cost of the land, if 1 m 2 1m2 of the land costs Rs. 10 , 000 10,000
Ans: Given, Cost of 1 m 2 1m2 of land = Rs. 10 , 000 10,000
Cost of 52 , 500 m 2 52,500m2 of land = Rs. 52 , 500 × 10 , 000 52,500×10,000
=Rs. 52 , 50 , 00 , 000 52,50,00,000
6. A rectangular field of length 50 50 m and breadth 45 45 m need to be fenced. Find the cost of fencing if the changes are Rs. 4 4 per meter.
Answer: We know, perimeter of rectangle
P= 2 ( l + b ) 2(l+b)
l=length
b= Breadth
= 2 ( 50 + 45 ) 2(50+45)
= 2 ( 95 ) 2(95)
= 190 190 m
Cost of fencing= 190 × 4 190×4
= Rs. 760
7. Find the area of quadrilateral ABCD here AC = 20 20 cm, BM = 4 4 cm, DN = 4 4 cm and BM ⊥ ⊥ AC and DN ⊥ ⊥ AC .
Answer: Using formula
Area of Δ A B C ΔABC = 1 2 × b × h 12×b×h
B= Base
H=Height
= 1 2 × 4 × 20 12×4×20
= 40 40 sq.cm
Area of Δ A D C ΔADC = 1 2 × b × h 12×b×h
= 1 2 × 20 × 4 12×20×4
= 40 40 sq.cm
Area of quadrilateral ABCD = Area of Δ A B C ΔABC + Area of Δ A D C ΔADC
= 40 + 40 40+40
= 80 80 sq. cm
Benefits of Solving Important Questions for Class 7 Maths Chapter 9
Reinforces Key Concepts : Practicing these questions helps reinforce key concepts such as calculating the perimeter and area of different shapes, which are fundamental to the chapter. This practice deepens understanding and ensures that students have a clear grasp of the formulas and how to apply them.
Improves Problem-Solving Skills : Working through important questions challenges students to solve various types of problems, enhancing their critical thinking and problem-solving abilities. It encourages them to approach questions methodically and apply the correct formulas to find solutions.
Boosts Confidence : Regular practice with important questions builds confidence. As students become more familiar with different question types and problem-solving techniques, they gain confidence in their ability to tackle exam questions accurately.
Prepares for Exams : Important questions are often similar to those that appear in exams. Practicing them familiarizes students with the exam format and the type of questions they may face, helping them manage their time effectively during tests and improving their overall exam performance.
Enhances Retention of Formulas : Solving important questions repeatedly reinforces the formulas for perimeter, area, and related topics. This continuous practice aids in better retention of these formulas, making it easier for students to recall and use them during exams.
Important Questions for Class 7 Maths Chapter 9 FAQs
What is the perimeter of a rectangle?
How do you find the area of a rectangle?
What is the perimeter of a square?
How do you find the area of a square?
What is the circumference of a circle?
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