document.write( "Question 1166938: The school park has a rectangular flower bed measuring 15 meters by 20 meters. The school administrators plan to double the area by providing a fence of uniform distance around the flower bed. Find the area and perimeter of the fence to the nearest hundredths. \n" ); document.write( "
Algebra.Com's Answer #791557 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Tutor Theo misread the problem, so his solution is conceptually incorrect.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " I came to guide you in right direction.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The area of the garden is 15*20 = 30 square meters;\r\n" ); document.write( "\r\n" ); document.write( "so the area inside the fence is 2*300 = 600 square meters.\r\n" ); document.write( "\r\n" ); document.write( "Thus this part is solved: it is easy part.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now let start working on the second question.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Lex x be the uniform distance around the flower bed.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the dimensions of the fence are (15+2x) meters width and (20+2x) meters length.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The area inside the fence is then (15+2x)*(20+2x).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From here you have this equation to determine x\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (15+2x)*(20+2x) = 2*15*20 = 600.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Reduce this equation to the standard quadratic equation form and solve using the quadratic formula.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 4x^2 + 70x - 300 = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It has no solution/solutions in integer or rational numbers, so other solution methods (guessing or factoring)\r\n" ); document.write( "do not work.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "When you find the value of x, you determine the perimeters as\r\n" ); document.write( "\r\n" ); document.write( " (15+2x) + (20+2x) + (15+2x) + 20+2x).\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar solved problems (your potential TEMPLATES), look into the lessons\r \n" ); document.write( "\n" ); document.write( " - Problems on the area and the dimensions of a rectangle surrounded by a strip\r \n" ); document.write( "\n" ); document.write( " - Cynthia Besch wants to buy a rug for a room \r \n" ); document.write( "\n" ); document.write( " - Problems on a circular pool and a walkway around it\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \n" ); document.write( "\"Dimensions and the area of rectangles and circles and their elements\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |