Perimeter of a parallelogram is 167 cm. If one of its sides is 37 cm long, find the length of the other three sides.
Answers
Answer:
\huge\bf{Answer :}Answer:
AB = 46.5 cm
DC = 46.5 cm, and
AD = 37 cm
\huge\bf{Corrected\: Question :}CorrectedQuestion:
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 :}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 :}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 :}ToFind:
Measure of other three sides, i.e AB, DC and AD
\huge\bf{Explanation :}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=2(37+x)
⇒ 167 = 74 + 2x167=74+2x
⇒ 93 = 2x93=2x
⇒ x = 46.5 \: cmx=46.5cm
∴ DC = AB = x = 46.5 cm
Hence, DC = 46.5 cm ✔️
and, AB = 46.5 cm ✔️
Answer:
37 CM 46.5 CM 46.5 CM
Step-by-step explanation:
In parallelogram 2 opposite sides are equal so, second side will be 37cm. Other two sides are (167cm -(37cm + 37cm))
167 - 74
93/2
46.5 cm