Mensuration is the branch of mathematics that deals with the measurement of geometric figures and their properties. It is particularly concerned with the calculation of various geometric quantities, such as area, volume, length, and surface area, related to two-dimensional and three-dimensional shapes.  Here are some formulas for the area and perimeter of different shapes: Circle: Area = πr2, Perimeter = 2πr Triangle: Area = 1⁄2 × b × h, Perimeter = a + b + c Square: Area = a, Perimeter = 4a Rectangle: Area = l × w, Perimeter = 2(l + w) Parallelogram: Area = b × h, Perimeter =... Show more

Mensuration is the branch of mathematics that deals with the measurement of geometric figures and their properties. It is particularly concerned with the calculation of various geometric quantities, such as area, volume, length, and surface area, related to two-dimensional and three-dimensional shapes. 

Here are some formulas for the area and perimeter of different shapes:
Circle: Area = πr2, Perimeter = 2πr
Triangle: Area = 1⁄2 × b × h, Perimeter = a + b + c
Square: Area = a, Perimeter = 4a
Rectangle: Area = l × w, Perimeter = 2(l + w)
Parallelogram: Area = b × h, Perimeter = 2(a+b)
Trapezoid: Perimeter = a + b + b + c, Area = 1⁄2( b + b ) x h
Ellipse: Perimeter ≈ 2π ( (a + b) / 2 ), Area = πrr
Hexagon: Perimeter = 6r, Area = (3√3/2 )r
Octagon: Perimeter = 8a, Area = ( 2 + 2√2 )a

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Math Practice Test: Mensuration - Area, Perimeter Of 2 - Dimensional Figures

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25 Questions

1. If the area of a circle is A m2, radius of the circle is r m, and circumference of it is C m, then

none of theseA/r = CrC = 2AC/A = r/2

2. Diagonals of a rhombus are 24 cm and 10 cm. Its area numerically differs by how much from its perimeter?

62687252

3. 132 cm wire was used to make a square, an equilateral triangle and a circle. Difference between the maximum and minimum area of these figures is _____ sq cm.

550400650800

4. The diagonal of a rectangle is 10 cm and it is twice the length of one of the sides. The area of the rectangle is

25 cm225 cm220 cm225/2 cm2

5. Two concentric circles have radii as 28 and 35 cm. The area in between them making a central angle of 40 degree is how many cm2 ?

154164150160

6. A boy drew the above circles (of Q 19) on the vertices of a triangle. What % area of the triangle he was left with?

1018148

7. Which has the maximum area under it if each is made of 30 cm wire?

hexagonpentagonoctagonall equal

8. A rectangular cardboard 20 × 14 cm was cut through a maximum sized circular shape. Remaining area is _____ sq cm

none364035

9. In the above question, if a margin of 4 cm alongside is kept and punches are done on the remaining sheet, number of punches will reduce by?

160152144280

10. From Q. 5 above if a road of equal width was created inside around it. The difference between the areas of two roads would be _____ π m2

16001200400800

11. A paddy field is in the form of the rhombus whose side is 50 m and one of the diagonal is 80. Find the cost of cultivating it at the rate of Rs.20 per sq m

Rs.48,000Rs.24,000Rs.96,000Rs.11,000

12. Another student drew the above circles inside a triangle. He was left with % of the area?

2015510

13. A square carpet with an area 169 m2 must have 2 m cut off one of its edges in order to fit a rectangular room. What is the area of room?

143 sq m195 sq m26 sq m55 sq m

14. From above question area of one such sector is _____
sq cm

11010012090

15. A triangle has inscribed and circumscribed circles. Ratios of their areas is_____

4:12:11:21:4

16. In question above, find the area (cm2) of the margin left unpunched?

508576628608

17. In the above find the diagonal of the rectangular park?

32 m30.5 m29.5 m32.5 m

18. A square has circles on its vertices touching each other. What % area of the square remains uncovered?

17222812

19. A rectangular sheet 48 x 36 cm shall have how many squared punches of 2 cm edge in it?

412389432288

20. Manuj is a skilled boy. He extracted a maximum sized circle out of a sheet 35 cm by 28 cm. What % of sheet still remains?

34403742

21. The vertices of triangle ABC are (4, 3), (4, 7) and (8, 3). The area of triangle ABC is

1684

22. A square and a rectangle each has 100 cm perimeter. Difference in areas is _____ sq cm

can’t sayno difference100more data reqd

23. The radius of a sphere is increased by 50%. The increase in the surface area of sphere is

200%150%125%100%

24. The area of the four walls of a room is 1,080 sq m If the height and length of the room are in the ratio of 2:5 and the height and breadth in the ratio of 4:5, then the carpet area of the room is

900 m2300 m2450 m21,800 m2

25. A teacher in the class gave the above Q 19 – Q 22 to four students. Student dealing with which Q number brought the maximum area occupied with him? (such like questions are bonus questions – the extra time lost in solutions is recovered in answering these questions)

Q 20Q 22Q 21Q 19