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Question 175849: The Cutting Edge Frame shop makes a mat by cutting out the inside of a rectangular board. The board is (2x-3) long and (x+8)wide. The cut out portion is (2x-7) long) and (x+4) wide and has an area of (184 in^2). Find the length and width of the original board. I used (2x^2+x-28=184) to find the area of the cut out, and am having trouble solving for x to find the original length and width. I get numbers for x of 10.04 and -10.5
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! he Cutting Edge Frame shop makes a mat by cutting out the inside of a rectangular board. The board is (2x-3) long and (x+8)wide. The cut out portion is (2x-7) long) and (x+4) wide and has an area of (184 in^2). Find the length and width of the original board. I used (2x^2+x-28=184) to find the area of the cut out, and am having trouble solving for x to find the original length and width. I get numbers for x of 10.04 and -10.5
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That's about right for the equation of: 2x^2 + x - 212 = 0
only the positive solution is wanted here
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To find the original length
2x - 3 =
2(10.04) - 3 = 17.08
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The original width:
x + 8 =
10.04 + 8 = 18.04
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You can check your solution by finding the length and width of the cut-out
Use that to find the area, confirm that it's close to 184
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