Perimeter and Area Class 7 Case Study Questions Maths Chapter 9

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Last Updated on September 6, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 7 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 9 Perimeter and Area. It is a part of Case Study Questions for CBSE Class 7 Maths Series.

Chapter	Perimeter and Area
Type of Questions	Case Study Questions
Nature of Questions	Competency Based Questions
Board	CBSE
Class	7
Subject	Maths
Useful for	Class 7 Studying Students
Answers provided	Yes
Difficulty level	Mentioned
Important Link	Class 7 Maths Chapterwise Case Study

Case Study Questions on Perimeter and Area

Questions

Passage 1:

Given below is the map of a society park

The park has four grass patches of equal area. The dotted line represents the path for running and jogging.

Q. 1. What is the perimeter of grass patch 1 ?
(a) 191 m
(b) 382 m
(c) 800 m
(d) 1528 m

Ans. Option (b) is correct.
Explanation:

$$
\begin{aligned}
\text { Perimeter of grass patch 1 } & =2(l+b) \\
& =2(120.5+70.5) \\
& =2(191) \\
& =382 \mathrm{~cm}
\end{aligned}
$$

Q. 2. What is the area of the running and jogging path?
(a) $3519 \mathrm{~m}^2$
(b) $3600 \mathrm{~m}^2$
(c) $8495.25 \mathrm{~m}^2$
(d) $37,500 \mathrm{~m}^2$

Ans. Option (a) is correct.
Explanation:
Area of the running 4 jogging path

$$
\begin{aligned}
& =\text { Area of park }-4 \times \text { area of one patch } \\
& =L \times B-4 \times l \times b \\
& =250 \times 150-4 \times 120.5 \times 70.5 \\
& =37500-33981 \\
& =3519 \mathrm{~m}^2
\end{aligned}
$$

Q.3. Two sitting benches are installed in the grass patches. The seat of each bench is of the length 1.2 m and width 0.7 m . How much area (in $\mathrm{m}^2$ ) is reserved for sitting in the park?
(a) 0.84
(b) 1.68
(c) 3.36
(d) 6.72

Ans. Option (d) is correct.
Explanation:

$$
\begin{aligned}
\text { Area of one sitting benches } & =l \times b \\
& =1.2 \times 0.7 \\
& =0.84 \mathrm{~m}^2
\end{aligned}
$$

Total area reserved for sitting in the park

$$
\begin{aligned}
& =4 \times 2 \times \text { area of one bench } \\
& =8 \times 0.84 \\
& =6.72 \mathrm{~m}^2
\end{aligned}
$$

Q. 4. The patch 2 is divided diagonally into two triangles of equal areas. Tulips are planted in one triangular area. What is the area in which the tulips are planted?
(a) $2831.75 \mathrm{~m}^2$
(b) $4247.625 \mathrm{~m}^2$
(c) $8495.25 \mathrm{~m}^2$
(d) $18,750 \mathrm{~m}^2$

Ans. Option (b) is correct.

Q. 5. Inside the grass patch 4, lily flowers are planted to make a 1.25 m wide bed. The length of the bed is same as the length of the patch. What is the area (in $\mathrm{m}^2$ covered by lillies)?
(a) 88.125
(b) 150.625
(c) 243.5
(d) 8645.875

Ans. Option (b) is correct.

Area covered by lillies = l × b = 120.5 × 1.25 = 150.625 m²

Also check

• Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
• Symmetry Class 7 Case Study Questions Maths Chapter 12
• Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
• Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
• Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
• Rational Numbers Class 7 Case Study Questions Maths Chapter 8
• Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
• Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
• Lines and Angles Class 7 Case Study Questions Maths Chapter 5
• Simple Equations Class 7 Case Study Questions Maths Chapter 4
• Data Handling Class 7 Case Study Questions Maths Chapter 3
• Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
• Integers Class 7 Case Study Questions Maths Chapter 1

Topics from which case study questions may be asked

• Area of parallelogram
• Area of triangle
• Circumference of a circle
• Area of circle

Perimeter is the measure along the boundary of a closed figure.

Area is the space enclosed by the figure.

Case study questions from the above given topic may be asked.

Diagonal of a parallelogram divides it into two triangles of equal areas.

Frequently Asked Questions (FAQs) on Perimeter and Area Case Study