Math, asked by tabassammirza801, 2 months ago

parameter of parallelogram is 167 cm. if one of its side is 37 cm long find the length of other three sides..

PLS ANSWER THE QUESTION WITH FULL EXPLANATION..I WILL MARK YOU AS BRAINLIST T-T​

Answers

Answered by akkhansa
3

Answer : 60 cm.

Given that :

Perimeter of Parallelogram = 60 cm

And also given that : Smaller side of Parallelogram = 12 cm

As we know that :

The perimeter of Parallelogram

\begin{gathered}2(a + b) \\ \\ where \: a \: and \: b \: are \: sides \: of \: the \: parallelogram\end{gathered}

2(a+b)

whereaandbaresidesoftheparallelogram

Now, according to the question :

\begin{gathered}2(12 + b) = 60 \\ \\ = > 12 + b = 30 \\ \\ = > b = 30 - 12 \\ \\ = > b = 18 \: cm\end{gathered}

2(12+b)=60

=>12+b=30

=>b=30−12

=>b=18cm

So, the other side of Parallelogram will be 18 cm.

its answer hope it help

Answered by Anonymous
7

\huge\bf{Answer :}

  • AB = 46.5 cm
  • DC = 46.5 cm, and
  • AD = 37 cm

\huge\bf{Corrected\: Question :}

Perimeter of a parallelogram is 167 cm. If one of it's side is 37 cm long, then find the length of the other three sides.

\huge\bf{Concept :}

Here, we're given one side of a parallelogram ABCD and asked to find the remaining three sides. So, we'll use the property of parallelogram in find the other three sides.

Let's answer the given question!

\huge\bf{Given :}

  • The figure in the attachment is a parallelogram ABCD.
  • Measure of BC = 37 cm
  • Perimeter of the parallelogram ABCD = 167 cm

\huge\bf{To\: Find :}

  • Measure of other three sides, i.e AB, DC and AD

\huge\bf{Explanation :}

We know that,

  • Opposite sides of the parallelogram are equal.

⇒ BC = AD = 37 cm [ Since, BC = 37 cm ] --------(a)

AD = 37 cm ✔️

Now, let DC be x cm.

∴ DC = AB = x cm. --------(b)

According to question,

Perimeter of the parallelogram = 2 ( a + b )

167 = 2 \: (37 + x)

167 = 74 + 2x

93 = 2x

x = 46.5 \: cm

∴ DC = AB = x = 46.5 cm

Hence, DC = 46.5 cm ✔️

and, AB = 46.5 cm ✔️

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