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siniylev [52]
3 years ago
12

I need help with number 33!!!

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Area of Big Rectangle                                     Area of Small Rectangle

A = L x w                                                           A = L x w

 = (25 + 2w)(10 + 2w)                                           = 25 x 10

 =   250 + 50w + 20w + 4w²                               = 250

       Big - Small  

74 = 250 + 70w + 4w² - 250

74 = 4w² + 70w

0 = 4w² + 70w - 74

   = 2(2w² + 35w - 37)

  = 2[2w² -2w  |  +37w - 37]

  = 2[2w(w - 1) |  +1(w - 1)]

  = 2(2w + 1)(w - 1)

0 = 2                                   0 = 2w + 1                                     0 = w - 1

FALSE so disregard          w = -1/2                                         w = 1

                                         NEGATIVE so disregard

Answer: 1 meter

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