SSC CGL 2026 is one of the most competitive exams for graduates, and scoring well can be quite challenging. With the number of aspirants growing every year, the competition is becoming tougher. To clear this exam successfully, you need focused, smart, and consistent preparation. Keeping this in mind, we have compiled a handy list of formulas for the Area and Perimeter of important geometrical figures in this SSC CGL 2026 study material blog to help you prepare effectively.
SSC CGL Study Material, Formulas of Area and Perimeter
Below is a collection of important formulas for area and perimeter of geometrical figures that are important for SSC CGL Exam preparation.
| Figure | Area | Perimeter |
| Circle –
: |
= pi × r2 or = (pi × d2) / 4 |
= 2 × pi × r or = pi × d |
Square -:
|
= s2 |
= s + s + s + s = 4 × s |
Rectangle -:
|
= l × w |
= l + l + w + w = 2 × l + 2 × w |
Triangle -:
|
= (b × h) / 2 |
= a + b + c |
Parallelogram -:
|
= b × h |
= a + a + b + b = 2 × a + 2 × b |
Rhombus -:
|
= b × h |
= b + b + b + b = 4 × b |
Trapezoid -:
|
= (a + b) / 2 × h |
= a + b + c + d |
Practice Area and Perimeter Questions Live
Below are some area and perimeter questions for practice. Each correct answer carries 1 mark, and 0.25 marks will be deducted for a wrong answer.
1) The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
2) A man walked 20 m to cross a rectangular field diagonally. If the length of the field is 16 m, the breadth of the field is:
3) A copper wire is bent in the form of a square with an area of 121 cm. If the same wire is bent in the form of a circle, the radius (in cm) of the circle is (Take π = 22/7)
4) The width of a rectangular hall is 3/4th of its length. If the area of the hall is 300 sq.m, then the difference between its length and width is:
5) The lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium be 4 cm, then its area is:
6) The area of a rectangle is 480 sq.cm. If its length is 30 cm, find its perimeter.
7) The diagonal of a square is 12√2 cm. Find its area.
8) A circular park has a circumference of 176 m. Find its area. (π = 22/7)
9) If the side of a square is increased by 25%, by what percent does its area increase?
10) The length and breadth of a rectangle are in the ratio 5:3. If the perimeter is 160 m, find the area.
11) The area of a triangle with base 18 cm and height 12 cm is:
12) A room is 15 m long and 12 m wide. Find the cost of carpeting the floor at ₹35 per sq.m.
13) The perimeters of a square and a rectangle are equal. The rectangle has length 14 cm and breadth 10 cm. Find the area of the square.
14) The area of a rhombus is 240 sq.cm. If one diagonal is 24 cm, find the other diagonal.
15) A path 2 m wide is built around a rectangular garden of length 20 m and breadth 15 m. Find the area of the path.
16) The area of a square field is 5184 sq.m. Find its perimeter.
17) The length of a rectangle is twice its breadth. If the perimeter is 78 m, find its area.
18) Find the area of a right-angled triangle whose hypotenuse is 13 cm and one side is 5 cm.
19) The radius of a circle is increased by 10%. By what percentage does its area increase?
20) A square lawn has a 2 m wide path all around it. If the area of the path is 72 sq.m, find the area of the lawn.
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I’m Mahima Khurana, a writer with a strong passion for creating meaningful, learner-focused content especially in the field of competitive exam preparation. From authoring books and developing thousands of practice questions to crafting articles and study material, I specialize in transforming complex exam-related topics into clear, engaging, and accessible content. I have first hand experience of 5+ months in SSC Exams. Writing, for me, is not just a skill but a way to support and guide aspirants through their preparation journey one well-written explanation at a time.