document.write( "Question 234271: I have a lake with a perimeter of 3,675 ft and I would like to estimate the acerage. I understand that ft. is a mesure of length and acre is a measure of land but I thought there was a way.
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document.write( "thank you \n" );
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Algebra.Com's Answer #172778 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! Thank you. I would call it an irregular quadrilateral with the 1st side=429ft, 2nd side=602ft, 3rd side=475 ft, and the 4th side=718ft. \n" ); document.write( "Using these figures and constructing a diagonal I have 2 non-right triangles: \n" ); document.write( "718 by 475 by 801 \n" ); document.write( "602 by 429 by 801 \n" ); document.write( "Using the formula: \n" ); document.write( "Area=sqrt[s(s-a)(s-b)(s-c)] where s=(a+b+c)/2 \n" ); document.write( "s=(718+475+801)/2=1,994/2=997 \n" ); document.write( "area=sqrt[997(997-718)(997-475)(997-801) \n" ); document.write( "area=sqrt[997*279*522*196] \n" ); document.write( "area=sqrt[28,459,412,860] \n" ); document.write( "area=168,699 ft^2 for one of the triangles. \n" ); document.write( "s=(602+429+801)/2=1,832/2=916 \n" ); document.write( "area=sqrt[916(916-602)(916-429)(916-801)] \n" ); document.write( "area=sqrt[916*314*487*115] \n" ); document.write( "area=sqrt16,108,382,120 \n" ); document.write( "area=126,919 ft^2 for the other triangle. \n" ); document.write( "168,699+126,919=295,618 ft^2 estimaate for the area of the lake. \n" ); document.write( " \n" ); document.write( " |