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A rectangle contains a strip of width $1,$ as shown below.  Find the area of the strip.

 Jun 1, 2024
 #1
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Let x be the length from the right edge to the strip. 

We have

[rectangle]=182+x2+8x=10882+x2=808x82+x2=64001280x+64x263x21280x+6336=0

x=b±b24ac2a=640816363x=8.5375[strip]=18.53752+82[strip]=11.7

 

Thanks! :)

 Jun 2, 2024

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