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Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m² by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?

 Oct 30, 2021
 #1
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(10+x)(13+x) = 130 + 208

130 + x ^2 + 23x - 338 = 0

x^2 + 23x -208 = 0        x = 6.95              13 + 6.95 =~ 19.95 m    

 Oct 30, 2021
 #2
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(10+x)(13+x) = 208

 

x = 3

 

The length will be 16 m

Guest Oct 31, 2021
 #3
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(10+x)(13+x) = 130 + 208

130 + x ^2 + 23x - 338 = 0

x^2 + 23x -208 = 0        x = 6.95              13 + 6.95 = ~ 19.95 m     

  This answer is for increasing the area by 208   not TO 208    See second answer!

Guest Oct 31, 2021

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