SOLUTION: what is the maximum possible area in square inches of a rectangle with a perimeter of 20 inches?
Algebra.Com
Question 522162: what is the maximum possible area in square inches of a rectangle with a perimeter of 20 inches?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
what is the maximum possible area in square inches of a rectangle with a perimeter of 20 inches?
===================================
Given: P = 2l + 2w = 20
Solve for l in terms of w:
l + w = 10 -> w = 10 - l
The area of the rectangle is:
A = l*w = l(10-l)
The area will be a maximum where dA/dl = 0
dA/dl = 0 = 10 - 2l
This gives l = 5
Therefore, the maximum area = 5*5 = 25 sq. in.
RELATED QUESTIONS
What is the largest possible area in square inches for a rectangle with a perimeter of... (answered by richwmiller)
What is the maximum perimeter of a rectangle with an area of 84 square... (answered by nyc_function)
A rectangle has a perimeter of 30 inches and it's dimensions are whole numbers what is... (answered by Alan3354)
what is the maximum area of a rectangle with a perimeter of 144... (answered by Alan3354)
The perimeter of a rectangle is 20 inches and its area is 24 square inches. What are its... (answered by Fombitz)
The perimeter of a rectangle is 34 inches, and its area is 60 square inches. What is the... (answered by ankor@dixie-net.com)
what are the possible dimensions of a rectangle with an area of 264 square inches and a... (answered by rothauserc)
A rectangle has as many square inches of area as it has inches of perimeter. The... (answered by MathLover1,josgarithmetic,ikleyn)
a rectangle has an area of 20 square inches and a perimeter of 18 inches, what are the... (answered by BGutridge)