If the perimeter of the parallelogram is 100, find the lengths of the sides

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Nick Brosnahan asked Nov 25, 2023

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If the perimeter of the parallelogram is 100, find the lengths of the sides

Mathematics
high-school

Nick Brosnahan asked Nov 25, 2023

by Nick Brosnahan

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21 votes

Answer:

Option one 22 & 28

Explanation:

100=2(2x-8)+2(x+4)

100=4x-16+2x+8

100+16-8=6x

108=6x

x=108/6=18

The XY side and its WZ partner side measure

2x-8=2(18)-8=36-8=28

The XW side and its partner YZ measure

x+4=18+4=22

check the perimeter

p=2(28) +2 (22)=56+44=100

Hope this helps

Andrew Dennison answered Dec 1, 2023

by Andrew Dennison

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