The length of two adjacent sides of a parallelogram are in ratio 4:7and its perimeter is 132cm.find the lengths of all the sides of the parallelogram ?

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Answer 1 · 2018-03-31T00:44:47

#x=42#

#y=24#

.

Let's call the long side #x# and the short side #y#:

#x/y=7/4, :. 4x=7y#

The formula for its perimeter is:

#P=2x+2y#

Let's solve for #y# from the first equation and plug it into the second equation:

#y=(4x)/7#

#P=2x+2((4x)/7)=2x+(8x)/7=(14x+8x)/7=(22x)/7#

#(22x)/7=132#

#x/7=6#

#x=42#

#y=(4x)/7=(4(42))/7=4(6)=24#