Important Questions for Class 7 Maths Chapter 9 PDF Download

Long Answer Questions

1. A rectangular field measures 120 m by 80 m. Find its area and perimeter.

Answer:

Area : $9600$ sq. m

Perimeter : $400$ m

2. A triangular garden has a base of 15 m and a height of 10 m. Calculate its area. Answer: $A=75$ 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 : $636$ sq. m

3. A circular garden has a radius of 14 m. Calculate its circumference and area.

Answer:

Circumference : $88$ m

Area : $1384$ 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 : $276$ 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.