document.write( "Question 714044: the perimeter of a garden is 66 m and its area is 270 square meter. find the dimension of the garden..\r
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document.write( "pleaseee help me:))) \n" );
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Algebra.Com's Answer #438649 by Simnepi(216)![]() ![]() You can put this solution on YOUR website! If you draw a rectangle, (go on, draw one!) and label the lengths as l and the widths as w, then the perimeter is \n" ); document.write( "l+w+l+w or, simplifying this we get 2l+2w removing the common factor gives \n" ); document.write( "2(l+w) this = 66m \n" ); document.write( "dividing both sides by 2 gives \n" ); document.write( "l + w = 33 \n" ); document.write( "rearranging this gives us \n" ); document.write( "l = 33 - w let's call this equation (1) \n" ); document.write( "Now..... \n" ); document.write( "the area of a rectangle is l*w, this is = 270 \n" ); document.write( "i.e. \n" ); document.write( "l * w = 270 let's call this equation (2) \n" ); document.write( "using equation (1) in equation (2) gives \n" ); document.write( "(33-w) * w = 270 \n" ); document.write( "multiplying out the bracket gives \n" ); document.write( " \n" ); document.write( "rearranging this equation gives \n" ); document.write( " \n" ); document.write( "using the formula for quadratics \n" ); document.write( " \n" ); document.write( "gives \n" ); document.write( "w = 18 or 15 \n" ); document.write( "since the width must be smaller than the length \n" ); document.write( "this gives the length as 18 m and the width = 15 m \n" ); document.write( " \n" ); document.write( " |