SOLUTION: Is it possible to have a rectangle with a 24 inch perimeter and a 36 square inch area

Question 705910: Is it possible to have a rectangle with a 24 inch perimeter and a 36 square inch area
Found 2 solutions by jim_thompson5910, mouk:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
yes it is possible

Side length = 6

Perimeter: 6*4 = 24

Area = 6^2 = 36

Specifically, this would be a square with side length of 6 inches
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
Answer: Yes
Proof:
Let the Let the width and height be denoted by and respectively

Eq (1)

Eg (2)

From Eq(1) we get

Substituting into Eq (2) we get:

Giving the solution (repeated)

And from Eq(1) when then

so a rectangle of length 6 (ie square) satisfies conditions.

The same process will work for other Numbers
RELATED QUESTIONS
The area of a rectangle is 36 square inches. The perimeter of the rectangle is 36 inches. (answered by stanbon)
Determine the area of a 6-inch � 10-inch rectangle by using the following units of area: (answered by checkley77)
Is it possible to make a rectangle with an area of 42 square units and a perimeter of 28... (answered by rfer)
1. Discuss the following as clearly and concretely as you can, illustrating with... (answered by ikleyn)
Is a 24 square-centimeter rectangle larger than a 24square-inch rectangle? (answered by Alan3354)
I know the formula for a rectangle P=2L+2W and A=LH, but what if the area and P are... (answered by Paul)
Which has a greater perimeter, a 28-inch square or a 21-inch by 31-inch rectangle?... (answered by unlockmath)
I cant help my daughter with this problem. Can you please explain it so I can help her? (answered by ankor@dixie-net.com)
the area of a rectangle is 56 square inch the width is 7 inch what is the... (answered by ewatrrr)