Mathematics · Quantitative Aptitude

Mensuration and Area

83 Questions

Mensuration and area problems cover calculating dimensions of 2D geometric figures. Questions involve finding areas for trapeziums, squares, and hexagons using standard formulas. This arithmetic topic consistently appears in quantitative aptitude tests for competitive exams.

Trapezium areaSquare dimensionsHexagon propertiesParallelogram areaGeometric conversions

Mensuration and Area Questions

Multiple choice general knowledge math & puzzles

0

  1. Col A

  2. Col B

  3. Both are equal

  4. Can't be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area of square = M^2. Area of circle = π(M/2)^2 = (π/4)M^2. Since π is approx 3.14, π/4 is approx 0.785. Because M^2 > 0.785M^2 for any positive M, the area of the square (Col A) is always greater.

Multiple choice general knowledge math & puzzles

AREA OF A SQUARE

  1. L X B

  2. L^2

  3. 2xLxR

  4. (2xLxR)^2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The area of a square is calculated by squaring the length of its side (L * L or L^2). Option 407795 is the correct mathematical formula, whereas L x B is for rectangles and other options are irrelevant.

Multiple choice

A painter uses a sheet measuring 30 cm by 40 cm lengthwise. If a margin of 5 cm is left on all four sides, then find the area of the margin.

  1. 500 cm2

  2. 700 cm2

  3. 600 cm2

  4. 400 cm2

  5. 300 cm2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total are of the sheet = 40*30 = 1200 cm2  Length of sheet without margin = 40 - 5 - 5 = 30 cm Breadth of sheet without margin = 30 - 5 - 5 = 20 cm Area of sheet without margin = 30*20 = 600 cm2 Now, area of margin = 1200 - 600 = 600 cm2.

Multiple choice

The area of a square is 256 cm2. Find its side.

  1. 128 cm

  2. 16 cm

  3. 8 cm

  4. 126 cm

  5. -
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

This is the correct answer. Area of square = Side x Side 256 = Side x Side Factors of 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 Side x Side = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 Side = 2 x 2 x 2 x 2 = 16 cm

Multiple choice

The area of an acre is-

  1. 0.40

  2. 0.80

  3. 1.10

  4. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

An acre is a unit of land area equal to 43,560 square feet or approximately 0.4047 hectares. Since none of the numeric options (0.40, 0.80, 1.10) represent the area in acres (which is a unit itself, not a conversion to hectares), 'None of these' is the correct choice.

Multiple choice maths construction circumscribing and inscribing a circle on a regular hexagon constructions related to a circle construction of polygons construction of tangent to a circle construction of tangents construction of line segment and circle of given radius construction related to lines

If the side of a regular hexagon is $6$ cm, then its area will be

  1. $108$ sq. cm
  2. $\dfrac {108}{3}$ sq. cm
  3. $108\sqrt {3}$ sq. cm
  4. $54\sqrt3$ sq. cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\Rightarrow$  Length of side of regular hexagon $(a)=6\,cm$

$\Rightarrow$  Area of regular  hexagon $=\dfrac{3\sqrt{3}}{2}a^2$

                                                 $=\dfrac{3\sqrt{3}}{2}\times (6)^2$

                                                 $=\dfrac{3\sqrt{3}}{2}\times 36$ 
                                 
                                                 $=54\sqrt{3}\,cm^2$

Multiple choice maths area and its boundary unit of area units of area units of area and volume

The area of Square is $100cm^2$.It cuts in $4$equal sized Squares .Find area of one of them in $m^2$

  1. $.25m^2$
  2. $.025m^2$
  3. $25m^2$
  4. $.0025m^2$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The total area is 100 cm^2. Dividing by 4 gives 25 cm^2 per square. Since 1 m = 100 cm, 1 m^2 = 10,000 cm^2. Thus, 25 cm^2 = 25 / 10,000 m^2 = 0.0025 m^2.