Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible. (if both values are the same number,

Question

tester [92]

3 years ago

5

Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible. (if both values are the same number,

enter it into both blanks.)

Mathematics

1 answer:

larisa86 [58] · Answer 1 · 2022-01-01T14:22:56+03:00

larisa86 [58]3 years ago

6 0

<span>dA/dx = 100 - 4x & the 2nd derivative is -4 [i.e. -ve]
so setting dA/dx to zero will give a maxima

100 - 4x = 0
so x = 25 m

in other words, a rectangle with a given perimeter has the maximum area when it is a square</span>
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