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 ofÂ Case Study Questions for CBSE Class 7 MathsÂ 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 Ã— b = 120.5 Ã— 1.25 = 150.625 m^{2}

### 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
- IntegersÂ 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.

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

#### Q1: What is the perimeter of a shape?

A1: The perimeter of a shape is the total length of its boundary. For example, the perimeter of a rectangle is the sum of the lengths of all its sides, which is calculated as 2 x (length + breadth).

#### Q2: How is the area different from the perimeter?

A2: The perimeter is the distance around the boundary of a shape, while the area is the amount of space enclosed within the shape. For example, the area of a rectangle is length Ã— breadth.

#### Q3: How do you calculate the perimeter of a square?

A3: The perimeter of a square is calculated by multiplying the length of one side by 4.

#### Q4: What is the formula for the area of a rectangle?

A4: The formula for the area of a rectangle is length Ã— breadth. It gives the amount of space inside the rectangle.

#### Q5: How do you find the perimeter of a triangle?

A5: The perimeter of a triangle is the sum of the lengths of all three sides.

#### Q6: **Can the area of a shape be negative?**

A6: No, the area of a shape cannot be negative. It represents the amount of space inside the shape, and space cannot have a negative value.

#### Q7: **What is the formula for the circumference of a circle?**

A7: The formula for the circumference of a circle is 2Ï€r, where r is the radius of the circle. The circumference is the distance around the circle.

#### Q8: How do you calculate the area of a circle?

A8: The area of a circle is calculated using the formula Ï€r^{2}, where r is the radius of the circle. It gives the space enclosed by the circle.

#### Q9: **Are there any online resources or tools available for practicing Perimeter and Area** **case study questions?**

A9: We provide case study questions for CBSE Class 7 Maths on ourÂ website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.