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Answers
What is the perimeter of the parallelogram given in the above attached image?
So let us firstly find the length and breadth.
Breadth:-
9 + 2a = 4
Length = 6b + 2a = 10b
So, let us firstly find the value of a
9 + 2a = 4
⟹ 2a = 4 - 9
⟹ 2a = -5
⟹ a = -2.5
And now find the value of b in order to get the value of Length
6b + 2a = 10b
⟹ 2a = 10b - 6b
⟹ 2 × (-2.5) = 4b
⟹ -5 = 4b
⟹ -1.25 = b
Length = 6b + 2a
= 6 × (-1.25) + 2 × (-2.5)
= -7.5 - 5
= -12.5
Or,
Length = 10b
= 10 × (-1.25)
= -12.5
Therefore,
Perimeter = 2 (l + b)
= 2 [(-12.5) + (4)]
= 2 (-12.5 + 4)
= 2 (-8.5)
= -17.0
= -17
Note :- Do not forget to use the unit. As here, no unit is mentioned, see the options present there and ensure that the perimeter and the unit is correct.
Answer:
What is the perimeter of the parallelogram given in the above attached image?
\LARGE{\bf{\underline{\underline{Solution:-}}}}Solution:−
\boxed{\sf{\blue{P = 2(l + b)}}}P=2(l+b)
So let us firstly find the length and breadth.
Breadth:-
9 + 2a = 4
Length = 6b + 2a = 10b
So, let us firstly find the value of a
9 + 2a = 4
⟹ 2a = 4 - 9
⟹ 2a = -5
⟹ a = -2.5
And now find the value of b in order to get the value of Length
6b + 2a = 10b
⟹ 2a = 10b - 6b
⟹ 2 × (-2.5) = 4b
⟹ -5 = 4b
⟹ -1.25 = b
Length = 6b + 2a
= 6 × (-1.25) + 2 × (-2.5)
= -7.5 - 5
= -12.5
Or,
Length = 10b
= 10 × (-1.25)
= -12.5
Therefore,
Perimeter = 2 (l + b)
= 2 [(-12.5) + (4)]
= 2 (-12.5 + 4)
= 2 (-8.5)
= -17.0
= -17