Question 1016900
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A=area=1080m^2; p=diagonal(1)=72m; q=diagonal(2)
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A=pq/2
2A=pq
2A/p=q
(2(1080m^2))/72m=q
2160m^2/72m=q
30m=q . The other diagonal is 30 meters.
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P=perimeter
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{{{P=2sqrt(p^2+q^2)}}}
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{{{P=2sqrt((72m)^2+(30m)^2)
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{{{P=sqrt(5184m^2+900m^2)}}}
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{{{P=sqrt(6084m^2)}}}
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{{{P=78m}}}
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ANSWER: The perimeter is 78 meters.