3 years ago

A square has an area of 25 cm2. if its perimeter increases by 4 cm, what is its area?

Mathematics

1 answer:

matrenka [14]3 years ago

7 0

If the perimeter of a square with an area of 25cm^2, then the answer is 20cm

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A dog owner wants to use 200 ft of fencing to enclose the greatest possible area for his dog. he wants the fenced area to be rec

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Perimeter (P) = 2 · Length(L) + 2 · Width (W) → P = 2L + 2W
Solve for either L or W (I am solving for L).
200 - 2W = 2L
(200 - 2W)/2 = L
100 - W = L

Area (A) = Length (L) · Width (W)
= (100 - W) · W
      = 100W - W²

Find the derivative, set it equal to 0, and solve:
dA/dW = 100 - 2W
   0 = 100 - 2W
   W = 50

refer to the equation above for L:
100 - W = L
100 - 50 = L
      50 = L

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