Triangle

Let the three sides of the triangle be a, b and c.  

  • Perimeter = a + b + c
  • Area 
    1. 2s = a + b + c 
      Area = 
    2. Area = 0.5 x Base x Perpendicular Height 

Mensuration 2D Formula & Aptitude Questions

Mensuration 2D is an important topic in Quantitative Aptitude, which mainly deals with problems related to the perimeter and area of two-dimensional shapes such as triangles, squares, rectangles, circles, parallelograms, etc. In Quantitative Aptitude, this topic does not have many variations and most of the questions are based on certain fixed formulas. The ability to quickly and accurately calculate the area and perimeter of 2D shapes is an essential skill required for various competitive exams, including aptitude tests. 

It is therefore important for candidates to have a good understanding of 2D mensuration concepts and be able to apply them to solve problems

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Mensuration Important Terminologies

TermsUnitDefinitionsArea Square units The region enclosed by the 2D figure is called the area. Perimeter Linear units The length of the boundary of a 2D figure is called the perimeter. Volume Cubic units The measure of the amount of space that a three-dimensional object occupies, is usually expressed in cubic units. Curved Surface Area Square units The area of the outer surface of a three-dimensional object that has a curved surface, such as a cylinder or cone. Lateral Surface Area Square units The area of the outer surface of a three-dimensional object that does not include its top or bottom, such as the sides of a prism or cylinder. Total Surface Area Square units The sum of the area of all the surfaces of a three-dimensional object, including its base and top. Square Unit Square units A unit of measurement is used for area, where one unit is equivalent to the area of a square with sides of length 1 unit. Cube Unit Cubic units A unit of measurement is used for volume, where one unit is equivalent to the volume of a cube with edges of length 1 unit....

Triangle

Let the three sides of the triangle be a, b and c....

Rectangle

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Square

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Parallelogram

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Rhombus

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Trapezium

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Circle

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Mensuration 2D Formulas

ShapeArea Formula (Square Units)Perimeter Formula (Square Units)Square A = s² (where s is the length of a side) P = 4s (where s is the length of a side) Rectangle A = l × w (where l is the length, w is the width) P = 2(l + w) (where l is the length, w is the width) Circle A = πr² (where r is the radius) C = 2πr (where r is the radius) Scalene Triangle A = (b × h) / 2 (where b is the base, h is the height) P = a + b + c (where a, b, and c are the lengths of the sides) Isosceles Triangle A = (b × h) / 2 (where b is the base, h is the height) P = 2a + b (where a is the length of the equal sides, b is the length of the third side) Equilateral Triangle A = (√3 / 4) × a² (where a is the length of a side) P = 3a (where a is the length of a side) Right-Angled Triangle A = (b × h) / 2 (where b is the length of the base, h is the length of the height) P = a + b + c (where a, b, and c are the lengths of the sides) Rhombus A = (d₁ × d₂) / 2 (where d₁ and d₂ are the lengths of the diagonals) P = 4s (where s is the length of a side) Parallelogram A = b × h (where b is the base, h is the height) P = 2(a + b) (where a and b are the lengths of the parallel sides) Trapezium A = ((a + b) / 2) × h (where a and b are the lengths of the parallel sides, h is the height) P = a + b + c + d (where a, b, c, and d are the lengths of the sides)...

Sample Questions on Mensuration 2D

Q1: Find the perimeter and area of an isosceles triangle whose equal sides are 5 cm and height is 4 cm....

Related Resources:

Problems on Mensuration 2D | Set 2...

Also Practice:

Mensuration 3D Aptitude QuestionsAges Aptitude QuestionsProfit and Loss Aptitude QuestionsSimple Interest Aptitude QuestionsCompound Interest Aptitude Questions...

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