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Question 1. A piece of square land has a perimeter equal to 20 m. A cow is standing in the middle of the square land as shown in the figure. What is the minimum distance the cow has to travel in order to go out of the field and drink water?

  1.    5 m
  2.    2.5 m
  3.    4 m
  4.    20 m
Answer: Option B
: B

Given, perimeter of a square land = 20 m
Perimeter of a square = 4 × Side of the square
20 = 4 × side
Side = 204
= 5 m
Cow is standing at centre of the square, in order to go out it has to travel the length equal to half of the side =52
= 2.5 m

Question 2. The area of each square is in the given figure is 4 cm2. The perimeter of the whole figure will be 

  1.    24 cm
  2.    28 cm
  3.    20 cm
  4.    44 cm
Answer: Option B
: B

Area of square = side × side
side × side = 4cm2
side = 2 cm

Now,
Length of the bigger rectangle = 5 × 2
= 10 cm
Breadth of the bigger rectangle = 2 × 2
= 4 cm
Perimeter of the bigger rectangle
= 2( Length + Breadth)
= 2(10 + 4)
= 28 cm

Question 3. The idea of perimeter plays an important for ____.
  1.    a farmer who wants to fence his land
  2.    a farmer who wants to plough his land
  3.    a farmer who wants to excavate his land
  4.    a farmer who wants to water his land
Answer: Option A
: A

In order to fence a land, a farmer needs the total length of the boundary which is given by theperimeter. For ploughing and watering theland, a farmer needs the area of the field, and for excavating the land the farmer will need the volume of the soil excavated.

Question 4. Given the area of a circle is 36 cm2. The area of the rectangle is 16th of the area of the circle. If the breadth of the rectangle is 1 cm, what is the length? 
  1.    6 cm
  2.    12 cm
  3.    36 cm
  4.    26 cm
Answer: Option A
: A

Given, Area of circle = 36 cm2
Area of rectangle = Area of circle6....(given)
= 366
= 6 cm2
Area of rectangle =length x breadth
6 =length x 1
So, length = 6 cm