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.
a. Write a polynomial expression that represents the area of the canvas
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
Answer by jorel1380(3719)   (Show Source):
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:
a. (w+2)(2w+7)=2w²+11w+14
b. For an area of 364 for the piece, we have:
w(2w+5)=364
2w²+5w-364=0
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. ☺☺☺☺
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