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7th Grade > Mathematics

AREA AND PERIMETER MCQs

Perimeter And Area

Total Questions : 99 | Page 9 of 10 pages
Question 81.


A car has a tyre of diameter 28 cm. ___ km is covered by the car if the tyre rotates 150 times. (Use π = 22/7)


 Discuss Question
Answer: Option A. ->
:

Circumference of a circle of radius r cm = 2πr cm
Thus, circumference of the tyre = 2πr = Distance covered in each rotation


i.e., Distance covered in 1 rotation = 2×π×14 = 88 cm


Distance covered in 150 rotation = 88 × 150 = 13200 cm = 0.132 km


Question 82.


Calculate the area of a rectangle whose length and breadth are 12 cm and 8 cm respectively.


  1.     96 cm2
  2.     192 cm2
  3.     196 cm2
  4.     48 cm2
 Discuss Question
Answer: Option A. -> 96 cm2
:
A

The area A of a rectangle is given by:
A=length×breadth
Therefore, for the given rectangle , we have
A=12×8=96cm2


Question 83.


In order to plant 4 plants per meter, how many plants should you buy to edge your garden along the path as in the given figure?


In Order To Plant 4 Plants Per Meter, How Many Plants Should...


  1.     25
  2.     35
  3.     36
  4.     30
 Discuss Question
Answer: Option D. -> 30
:
D
You can plant 4 plants per meter.
The perimeter of the garden = 1.25m + 3m + .75m + 2.5m = 7.5m

If in 1m 4 plants can be planted, then in 7.5m, 7.5 × 4 = 30 plants can be planted.

So, 30 plants need to be bought.


Question 84.


One fine morning, Ted woke up and found his dad gardening. His dad was planning to fence the garden with plants. How many saplings should he buy so that his dad can fence the garden with 5 plants every 2.5 metres?


One Fine Morning, Ted Woke Up And Found His Dad Gardening. H...


  1.     31
  2.     41
  3.     62
  4.     82
 Discuss Question
Answer: Option D. -> 82
:
D

For 2.5 m, number of saplings required = 5


For 1 m, number of saplings required = 52.5 = 2


Ted has to plant 2 plants per metre.


Perimeter of the garden = (10.2 + 11.4 + 10.6 + 8.8) m = 41.0 m = 41 m


For 1 m, Ted needs 2 plants.


So, for 41 m, Ted is going to need = 41 × 2 = 82 saplings.


Question 85.


Given a square of side 10m and a rectangle of length 11m and breadth 9m. Which one has more area?  
[1 MARK] 


 Discuss Question
Answer: Option D. -> 82
:


Area of square of side A isA2


Area of given square = 10 × (10)


= 100 m2


Area of a rectangle whose length and breadth are A m and B m respectively is A × B


Area of given rectangle = 11 × 9


= 99 m2
100 is greater than 99.


Hence, Square has greater area compared to the given rectangle.


Question 86.


Find the area of the circle whose diameter is 10m. Express your answer in cm2.  [2 MARKS]


 Discuss Question
Answer: Option D. -> 82
:

Formula: 1 Mark
Answer: 1 Mark
Given that
The diameter of a circle is 10m.
Area of the circle whose radius is R  is 
π×(R)2


Radius of the given circle = 102


= 5m


Area of the given circle = π×(5)2


= 78.5m2


= 785000cm2
Area of the required circle is 785000cm2


Question 87.


A circle has a circumference of 70 meters. Find its area. [2 MARKS]


 Discuss Question
Answer: Option D. -> 82
:

Formula: 1 Mark
Answer: 1 Mark
Given that
The circumference of a circle = 70 m 
Let the radius of the circle be 'R' m


Circumference of given circle is 2πR


2πR = 70


R = 35π


Area = π×(35π)2


= 389.77m2
The area of the circle is 389.77m2.


Question 88.


Is the figure below a polygon?  [2 MARKS]
Is The Figure Below A Polygon?  [2 MARKS]


 Discuss Question
Answer: Option D. -> 82
:

Reason: 1 Mark
Answer: 1 Mark
This is a closed figure, but this does not contain any straight lines. Hence, it is not a polygon.


Is The Figure Below A Polygon?  [2 MARKS]


Question 89.


Find the missing values:  [3 MARKS]
BaseHeightArea of triangle15 cm87 cm231.4 mm1256 mm222 cm170.5 cm2


 Discuss Question
Answer: Option D. -> 82
:
Blanks : 1 Mark each
We know that the area of triangle= 12×base×height
In first row, base=15 cm and area = 87cm2
   87=12×15×height    height=87×215=11.6 cm
In second row, height=31.4 mm and area =1256 mm2
    1256=12×base×31.4     base=1256×231.4=80 mm
In third row, base=22 cm and area =170.5 cm2
     170.5=12×22×height
   height=170.5×222=15.5 cm
Thus, the missing values are:
BaseHeightArea of triangle15 cm11.6 cm87 cm280 mm31.4 mm1256 mm222 cm15.5 cm170.5 cm2
 
Question 90.


Given the side length as 10m and base length as 9m and height as 5m of a parallelogram. Find the area and its perimeter.  [2 MARKS]


 Discuss Question
Answer: Option D. -> 82
:

Process : 1 Mark
Result : 1 Mark
Perimeter of the parallelogram = 2( side + base )


                                              = 2(10+9) =38 m


  Area of the parallelogram = base × (height)


                                        = 9 × (5) = 45 m2


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