document.write( "Question 1080889: You are creating a piece of artwork for the school art show. You need to buy a piece of canvas that is large enough to stretch and secure around a wooden frame. You plan that the length of your piece will be 5 inches more than twice the width, and you will need 1 inch extra on each side to secure the canvas to the frame.\r
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document.write( " a. Write a polynomial expression that represents the area of the canvas\r
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document.write( " b. You want the area of the piece to be 364 square inches. How wide should your canvas be? Round your answer to the nearest hundredth\r
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Algebra.Com's Answer #695038 by jorel1380(3719)![]() ![]() You can put this solution on YOUR website! Let w and 2w+5 be your width and length, respectively. 1 inch extra on each side will give you w+2 and 2w+7 as the new area of your canvas. So the area would be: \n" ); document.write( "a. (w+2)(2w+7)=2w²+11w+14 \n" ); document.write( "b. For an area of 364 for the piece, we have: \n" ); document.write( "w(2w+5)=364 \n" ); document.write( "2w²+5w-364=0 \n" ); document.write( "Using the quadratic formula, we get a value of 12.2985239048 for the width, and 29.5970478096 for the length of the piece. Adding 2 inches to each dimension, we get 14.2985239048 inches for the width, and 31.5970478096 inches long as the dimensions of the canvas. ☺☺☺☺ \n" ); document.write( " \n" ); document.write( " |