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Kamila [148]
3 years ago
14

A bulletin board has a perimeter of 200 inches. Which expression expresses the area A(w) of the bulletin board as a function of

its width, w?
Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

Answer:

area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-w^{2}

Step-by-step explanation:

  • let, the shape of the bulletin board is a rectangle,
  • then the perimeter of it = sum of all sides

= 2[length+width] = 2[l+w]

(let l: length, w : width )

  • so, 200 = 2[l+w]

100= l+w ( dividing both the sides by 2)

so, l= 100-w

  • area = length*width=l*w=[100-w]*w
  • therefore,area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-w^{2}
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