the perimeter of a parallelogram is 24 cm and one of the side is 8 cm . find the other side
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Answered by
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perimeter of parallelogram=2(l+b)
24=2(8+b)
24=16+2b
24-16=2b
8=2b
4=b
b=4cm
other side of parallelogram is 4cm.
24=2(8+b)
24=16+2b
24-16=2b
8=2b
4=b
b=4cm
other side of parallelogram is 4cm.
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Answered by
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Let the lengths of the parallelogram be x and y .Then According to question,
Perimeter of parallelogram is 24 cm.
**Parallelogram has four sides two of them are x and y let other sides be a and b.
therefore
x+y+a+b=24 ........(1)**
"As opposite sides of parallelogram are equal in lengths."
therefore x=a and y=b
Then substituting in (1)
x+y+x+y=24
2x+2y=24
2(x+y)=24
x+y=24/2
x+y=12..................(2)
Now given that one of the sides are equal to 8cm.
Let y=8cm
Now substituting this value in (2) then we have,
x+8=12
x=12-8
x=4cm
Therefore the two sides are 4cm and 8cm.
The step enclosed with stars(*) need not be written as we can directly skip to the step enclosed with inverted commas(").
Hope this would have been helpful to you and please mark my answer as the brainliest.
Perimeter of parallelogram is 24 cm.
**Parallelogram has four sides two of them are x and y let other sides be a and b.
therefore
x+y+a+b=24 ........(1)**
"As opposite sides of parallelogram are equal in lengths."
therefore x=a and y=b
Then substituting in (1)
x+y+x+y=24
2x+2y=24
2(x+y)=24
x+y=24/2
x+y=12..................(2)
Now given that one of the sides are equal to 8cm.
Let y=8cm
Now substituting this value in (2) then we have,
x+8=12
x=12-8
x=4cm
Therefore the two sides are 4cm and 8cm.
The step enclosed with stars(*) need not be written as we can directly skip to the step enclosed with inverted commas(").
Hope this would have been helpful to you and please mark my answer as the brainliest.
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