document.write( "Question 1206551: Harold Johnson lives on a four-sided, 50,000-square-foot lot that is bounded on two sides by parallel streets. The city has assessed him $1,000 for curb repair, $2 for each foot of property bordering on these two streets. How far apart are the streets? \n" ); document.write( "
Algebra.Com's Answer #844099 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "h = distance between parallel streets = height of trapezoid \n" ); document.write( "b1, b2 = parallel sides\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b1+b2 = total number of feet along curbside \n" ); document.write( "2(b1+b2) = total cost = $1000 \n" ); document.write( "2(b1+b2) = 1000 \n" ); document.write( "b1+b2 = 1000/2 \n" ); document.write( "b1+b2 = 500\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area of trapezoid = 0.5*h*(b1+b2) = 50,000 \n" ); document.write( "0.5*h*(b1+b2) = 50,000 \n" ); document.write( "0.5*h*(500) = 50,000 \n" ); document.write( "250h = 50,000 \n" ); document.write( "h = 50000/250 \n" ); document.write( "h = 200\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 200 ft \n" ); document.write( " \n" ); document.write( " |