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Mensuration Test - 6

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Mensuration Test - 6
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  • Question 1
    1 / -0
    The perimeter of a rectangle whose length$$(l)$$ and breadth$$(b)$$ are given, is
    Solution
    Perimeter of a rectangle is the sum of all its four sides.

    Since, two sides measure $$l$$ and the other two sides measure $$b$$ , Perimeter of a rectangle whose length$$(l)$$ and breadth$$(b)$$ are given, is $$ l + b + l + b = 2(l + b) $$
  • Question 2
    1 / -0
    Perimeter of a square is? 
    Where $$s$$ is the side of the square.
    Solution
    Perimeter of square = 4s
  • Question 3
    1 / -0
    Perimeter of a square whose side measures $$4\ m$$ is
    Solution
    Perimeter of the square side  $$ = 4 *side of square $$
    Hence, perimeter of this square of side $$4\ m$$ $$ = 4 \times 4 = 16\   m $$

  • Question 4
    1 / -0
    If the length and breadth of a rectangle are doubled then its perimeter is
    Solution
    Perimeter of rectangle $$= 2(l+b)$$
    Here length $$= l$$ and breadth $$= b$$
    If the length and breadth of a rectangle are doubled. 
    then length $$= 2l$$ and breadth $$= 2b$$ 
    $$\therefore$$ perimeter of new rectangle would be $$ 2(2l+2b) = 4(l+b) = 2.2(l+b)$$
    $$\therefore $$ if the length and breadth of a rectangle are doubled then its perimeter is also doubled.
    Option B is correct.
  • Question 5
    1 / -0
    The perimeter of a square field whose side is $$ 4 \ m$$  is ........... m.
    Solution
    Perimeter of a square is = $$4 \times side$$
    Hence Perimeter of square = $$4 \times 4 = 16  m$$

  • Question 6
    1 / -0
    Perimeter of a square $$728$$ cm. Then the measure of its side is : 
    Solution
    Perimeter of square $$= 4 \times side$$
    $$\therefore 4\, \times\, side\, =\, 728$$

    $$side\, =\, \displaystyle \frac{728}{4}\, =\, 182\ m$$ 

    Thus the measure of the side of the square is $$182$$ cm.
  • Question 7
    1 / -0
    Perimeter of a square garden is $$444$$ m. Then its side measures
    Solution
    Given, perimeter of a square garden is $$444$$ m.
    So, perimeter $$= 444 = 4$$ $$\times$$ $$side$$
    $$side\, =\, \displaystyle \frac{444}{4}\, =\, 111$$ m
    Then sides of a garden measures $$111$$ m.
  • Question 8
    1 / -0
    The perimeter of the rectangle whose length = $$25$$ cm, breadth = $$15$$cm is ............ cm.
    Solution
    Perimeter of  a rectangle $$=$$ $$2 \times (length+breadth)$$

    Hence perimeter  $$=$$ $$2 \times(25+15)$$

                                   $$=$$ $$80\ cm$$
  • Question 9
    1 / -0
    The perimeter of a square is $$144 \text{ m}$$, then the side of the square is …..
    Solution
    Perimeter of square $$=4\times side$$  $$=144$$
    Hence, $$side $$ $$=144 \div 4$$ $$=36 \text{ m}$$
  • Question 10
    1 / -0
    The distance covered by a farmer around a field of$$ 120 $$m length and $$80$$ m width is ........... m.
    Solution
    Distance covered by the farmer = perimeter of the filed = $$2\times(length+breadth)$$
      = $$2\times(120+80)$$
     = $$ 2 \times 200$$
     = $$ 400 m$$
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