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6th Grade > Mathematics

MENSURATION MCQs

Total Questions : 95 | Page 3 of 10 pages
Question 21. The area of the rectangle with length 11 cm and width equal to half its length will be
  1.    22 cm2
  2.    33 cm2
  3.    60.5 cm
  4.    60.5 cm2
 Discuss Question
Answer: Option D. -> 60.5 cm2
:
D
Width of rectangle = 112cm
Area of rectangle= length × Width
=112×11
= 60.5 cm2
Question 22. Find the perimeter of the following figure (all measurements are in mm):
Find The Perimeter Of The Following Figure (all Measurements...
  1.    128.82 mm
  2.    26.72 cm
  3.    27.72 mm
  4.    27.72 cm
 Discuss Question
Answer: Option C. -> 27.72 mm
:
C
Perimeter = Sum of lengths of all sides
Perimeter of the given figure = 4.3 mm + 1.52 mm + 5.4 mm + 9.2 mm + 3.1 mm + 4.2 mm
= 27.72 mm
Question 23. The perimeter of a square is ___ times the length of its side.
 Discuss Question

:
The perimeter is the total length of the boundary of the closed figure. For a square, it is basically the sum of all the sides and in a square, all sides are equal. So, the perimeter is 4 xsides.
Question 24. The sum of all the sides of a closed figure is called its ___.
 Discuss Question

:
The sum of all the sides of a closed figure is termed its perimeter.
Question 25. There is a square plot with side length equal to 13 m. A farmer wanted to grow grass on half his field and plough the remaining land. Find the area of land used to grow the grass.
  1.    84.5 m2
  2.    169 m2
  3.    52 m2
  4.    84.5 m
 Discuss Question
Answer: Option A. -> 84.5 m2
:
A
Given, side of the square plot = 13 m
We know that, area of a square = Side x Side
So, total area of a square
= Side × Side
= 13 x 13 = 169
m2
Area on which grass is grown = Half of the total area
= 1692 = 84.5 m2
Question 26. Find the area of the following figure (in sq. inches). [2 MARKS]
Find The Area Of The Following Figure (in Sq. Inches). [2 M...​​
 Discuss Question

:
Steps: 1 Mark
Answer: 1 Mark
Find The Area Of The Following Figure (in Sq. Inches). [2 M...
Areaofthegivenshape=Areaofsquare+Areaofrectangle
= (side)2 + (length × breadth)

=(3)2+(2×9)=9+18
=27 sq inches
Question 27. Find the perimeter and area of the shape given below: [3 MARKS]
Find The Perimeter And Area of The Shape Given Below: [3 MA...​​
 Discuss Question

:
Concept: 1 Mark
Application: 1 Mark
Solution: 1 Mark
Perimeter = Length of the boundary
= (45 + 22 + 25 + 8 + 20 + (8+22))
=(45 + 22 + 25 + 8 + 20 + (30))
= 150m
Area of the shape = Area of the larger rectangle + area of smaller rectangle
=(45×22)+(20×8)
=(990)+(160)
=1150cm2

Area=1150cm2
Question 28. Pratik and his friends were playing around a track that is shaped like a regular hexagon. Each side measures 45 feet. If they make 2 complete trips around the track, how far will they have walked? [3 MARKS]
 Discuss Question

:
Steps: 1 Mark
Formula: 1 Mark
Answer: 1 Mark
The perimeter of a regular hexagon
= 6×sidelength

Perimeter of the hexagon
= 6×45feet
=270feet

As they walk 2 rounds:
Distance covered
= 2×270feet
=540feet
Question 29. What is the area of the table whose sides measure 1m 20 cm in length and 2m 50 cm in breadth? [2 MARKS]
 Discuss Question

:
Steps: 1 Mark
Answer: 1 Mark
Length (l) = 1m 20cm
1 m= 100 cm
= (1+20100)m=1.2m
Breadth (b) = 2m 50cm
= (2+50100)m=2.5m
Area = l×b=1.2m×2.5m=3m2
Question 30. Split the below figures into multiple rectangles and find out their area. All dimensions are given in centimetres. [4 MARKS]
Split The Below Figures Into Multiple Rectangles And Find Ou...
 Discuss Question

:
Each Option: 2 Marks
(a) The above figures can be split into multiple rectangles as follows:
Split The Below Figures Into Multiple Rectangles And Find Ou...
Area of 1st rectangle
=21×7=147cm2
Area of 2nd rectangle
=7×7=49cm2
Area of 3rd rectangle
=7×7=49cm2
Total area of the whole figure
=147+49+49=245cm2
(b) The above figures can be split into multiple rectangles as follows:
Split The Below Figures Into Multiple Rectangles And Find Ou...
Area of 1st rectangle
=5×1=5cm2
Area of 2nd rectangle
=4×1=4cm2
Total area of the whole figure
=5+4=9cm2

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