document.write( "Question 833374: The length of a rectangular garden is 3 meters more than its width. If the perimeter of the garden is 50 meters, what is the area of the rectangle? Thankyou. :) \n" ); document.write( "
Algebra.Com's Answer #502505 by Leaf W.(135)![]() ![]() You can put this solution on YOUR website! Hi! \n" ); document.write( "* \n" ); document.write( "Let us call the width of the garden (in meters) \"x.\" \n" ); document.write( "* \n" ); document.write( "Since the length is 3 meters greater than the width, the length = x + 3. \n" ); document.write( "* \n" ); document.write( "Now form an equation using these expressions to show the perimeter of the garden: \n" ); document.write( "Perimeter = 2*width + 2*length \n" ); document.write( "Perimeter = 2x + 2(x + 3) \n" ); document.write( "* \n" ); document.write( "As we know that the perimeter is 50 meters, we can plug this in and solve for x: \n" ); document.write( "50 = 2x + 2(x + 3) \n" ); document.write( "50 = 2x + 2x + 6 \n" ); document.write( "44 = 4x \n" ); document.write( "4x = 44 \n" ); document.write( "x = 11 \n" ); document.write( "* \n" ); document.write( "Therefore, the width = 11 meters. To solve for the length, just plug x = 11 into the expression for length: length = x + 3 = 11 + 3 = 14. \n" ); document.write( "* \n" ); document.write( "Now we know that the width = 11 meters and the length = 14 meters. \n" ); document.write( "* \n" ); document.write( "To find the area, just plug these values into the area formula for a rectangle: \n" ); document.write( "Area = length*width \n" ); document.write( "Area = 14*11 \n" ); document.write( "Area = 154 \n" ); document.write( "* \n" ); document.write( "Therefore, the area of the rectangular garden is 154 square meters. =) \n" ); document.write( " |