One side of a parallelogram is 2.5 times its consecutive adjacent side. If the perimeter
of the parallelogram is 70 m, find its area and the measures of all its sides.
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Step-by-step explanation:
Let ABCD is a parallelogram
Let AB=x m
Adjacent side BC=(x+2.5) m
Now,
CD=AB=x m [Opposite sides of parallelogram are equal]
And AD=BC=(x+2.5) m [Opposite sides of parallelogram are equal]
Perimeter =AB+BC+CD+AD
⇒51=x+x+2.5+x+x+2.5
⇒51=4x+5
⇒4x=51−5
⇒4x=46
⇒x=
4
46
⇒x=11.5 m
So,
AB=CD=11.5 m
and BC=AD=11.5+2.5=14 m
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