## The owner of a motel has 2900 m of fencing and wants to enclose a rectangular plot of land that borders a straight highway. If she does not

Question

The owner of a motel has 2900 m of fencing and wants to enclose a rectangular plot of land that borders a straight highway. If she does not fence the side along the highway, what is the largest area that can be enclosed?

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2021-10-20T20:36:59+00:00
2021-10-20T20:36:59+00:00 1 Answer
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## Answers ( )

Answer:Step-by-step explanation:Given that the owner of a motel has 2900 m of fencing and wants to enclose a rectangular plot of land that borders a straight highway.

Fencing is used for 2times length and 1 width if highway side is taken as width

So we have 2l+w = 2900

Or w = 2900-2l

Area of the rectangular region = lw

Use derivative test to find the maximum

So maximum when I derivative =0

i.e when

Largest area = A(725)

=

1051250 sqm is area maximum