contestada

A rectangle of perimeter 100 units has the dimensions shown. Its area is given by the function A = w(50 - w). What is the GREATEST area such a rectangle can have?

A) 525 square units
B) 600 square units
C) 625 square units
D) 700 square units

Respuesta :

apologiabiology
V=LW
hmm, it seems that w=w and l=50-w

P=2(L+W)
P=2(50-w+w)
100=2(50)
duh, doesn't help



expand
A=50w-w^2
take derivitive
A'=50-2w
it equals 0 at w=25
derivitive changes from (+) to (-) at w=25
so that is where the max occurs

l=50-25
l=25


greatest area is 25*25=62

C is answer

Answer:

Step-by-step explanation:

The answer is C.

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