Find the length and width of a rectangle that has the given area and a minimum p

Pretoto4o

Pretoto4o

Answered question

2021-11-08

Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 49 square feet

Answer & Explanation

Walker Funk

Walker Funk

Beginner2021-11-09Added 13 answers

The perimeter is P=2l+2w
Then is
A=lw
49=lw
w=49l
Also is
P=2l+2(49l)
=2l+98l
Now we have
P'(l)=0
298l2=0
l2=49
l=±7
and
lw=49
7w=49
w=7
The length is 7 feet and width is 7 feet
Results:
The length is 7 feet and width is 7 feet

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