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so the height of the triangle side with base 6 feet will be sqrt(100+16)=sqrt116 - and the height of the triangle side with base 8 feet will be sqrt((100+9)=sqrt(109) - after this you can calcule the area of one lateral side with base lenght 6 feet and multiply by 2 and the area of one lateral side with base lenght 8 feet and mulitply by 2 - on finaly assume these areas of sides and will get the lateral area of this prism
make those calcules and will get it
480
so if you have got this than this will be the right answer good luck bye
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