SSC CHSL 2027: Mensuration Questions Based on Rectangles and Squares

Mensuration is an important topic in the Quantitative Aptitude section of the SSC CHSL examination. Questions based on squares and rectangles commonly involve calculating area, perimeter, length, breadth and side measurements. Understanding the basic formulas and practising numerical problems can help candidates improve their calculation speed and accuracy.

In this guide, you will learn important mensuration formulas for rectangles and squares, solved examples and practice questions for SSC CHSL 2027.

1. What Is Mensuration?

Mensuration is the branch of mathematics that deals with measuring geometric shapes. It includes calculations related to area, perimeter, surface area and volume.

For two-dimensional figures such as squares and rectangles, the most important measurements are:

• Area: The total surface covered by a shape.
• Perimeter: The total length of the boundary of a shape.
• Length: The longer side of a rectangle.
• Breadth: The shorter side of a rectangle.
• Side: The equal length of each side of a square.

2. Important Mensuration Formulas for a Rectangle

A rectangle is a four-sided shape in which opposite sides are equal and all four angles are 90 degrees.

Example: A rectangle has a length of 12 cm and a breadth of 8 cm. Find its area and perimeter.

Area = 12 × 8 = 96 cm²

Perimeter = 2 × (12 + 8) = 2 × 20 = 40 cm

3. Important Mensuration Formulas for a Square

A square is a four-sided shape in which all sides are equal and every angle is 90 degrees.

Example: The side of a square is 9 cm. Find its area and perimeter.

Area = 9 × 9 = 81 cm²

Perimeter = 4 × 9 = 36 cm

4. Difference Between a Square and a Rectangle

5. Solved Mensuration Questions for SSC CHSL 2027

Example 1: The length and breadth of a rectangle are 15 cm and 10 cm. Find its area.

Solution: Area = Length × Breadth = 15 × 10 = 150 cm².

Example 2: The perimeter of a square is 64 cm. Find its area.

Solution: Side = 64 ÷ 4 = 16 cm.

Area = 16 × 16 = 256 cm².

Example 3: The area of a rectangle is 180 cm² and its length is 15 cm. Find its breadth.

Solution: Breadth = Area ÷ Length = 180 ÷ 15 = 12 cm.

Example 4: The side of a square is increased from 5 cm to 10 cm. Find the increase in area.

Original Area = 5 × 5 = 25 cm².

New Area = 10 × 10 = 100 cm².

Increase = 100 − 25 = 75 cm².

6. Important Tips to Solve Mensuration Questions

• Remember the area and perimeter formulas of both shapes.
• Check whether the question asks for area or perimeter.
• Use square units such as cm² or m² for area.
• Use linear units such as cm or m for perimeter.
• Convert all measurements into the same unit before calculating.
• For square questions, remember that all four sides are equal.
• Practise calculations involving squares, square roots and multiplication tables.

7. Practice Questions for SSC CHSL 2027

Q1. The length of a rectangle is 20 cm and its breadth is 8 cm. What is its area?

A) 140 cm² B) 150 cm² C) 160 cm² D) 180 cm²

Answer: C) 160 cm²

Q2. The perimeter of a square is 48 cm. What is its area?

A) 121 cm² B) 144 cm² C) 169 cm² D) 196 cm²

Answer: B) 144 cm²

Q3. The area of a rectangle is 240 cm² and its breadth is 12 cm. Find its length.

A) 15 cm B) 18 cm C) 20 cm D) 24 cm

Answer: C) 20 cm

Q4. What is the perimeter of a square whose side is 13 cm?

A) 39 cm B) 48 cm C) 52 cm D) 56 cm

Answer: C) 52 cm

Q5. The length and breadth of a rectangle are 18 cm and 10 cm. Find its perimeter.

A) 48 cm B) 52 cm C) 56 cm D) 60 cm

Answer: C) 56 cm

8. Frequently Asked Questions

Conclusion

Mensuration questions based on rectangles and squares can be solved easily by understanding their basic properties and formulas. For SSC CHSL 2027, candidates should practise problems involving area, perimeter, length, breadth and diagonal calculations. Regular revision and practice will help strengthen the Quantitative Aptitude section.