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The greatest area that a rectangle can have is, in fact, attained when it is a square. A square with perimeter of 16 cm must have sides of 4 cm and so an area of 4*4 = 16 cm2.

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Q: What are the dimensions of a rectangle that has a perimeter of 16cm and has the greatest possible area?
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What is the greatest perimeter of a rectangle with an area of 39 feet?

It's greatest possible perimeter: 1+39+1+39 = 80 feet


The length of a rectangle is 4 cm longer than the width and the perimeter is at least 48 cm What are the smallest possible dimensions for the rectangle?

L + W >= 24, L = W + 4, Possible dimensions 14 and 10 giving an area of 140 sq cm.


Jim has designed a rectangle with an area of 100 square feet and a perimeter of 401 feet is it possible that Jim's rectangle has whole number side lengths?

No it is not possible the dimensions are 200 by 1/2


What are the perimeter dimensions of a 14-acre rectangle?

Your question cannot be answered. An area of 14 acres is equivalent to 609,840 square feet, but a rectangle with that area could be 609,840 feet by 1 foot, or it could be 1089 feet by 560 feet, or many other possible dimensions, each of which would have a different perimeter.


A rectangle has a perimeter of 10 ft Write the area A of the rectangle as a function of the length of one side x of the rectangle?

This question has no unique answer. A (3 x 2) rectangle has a perimeter = 10, its area = 6 A (4 x 1) rectangle also has a perimeter = 10, but its area = 4 A (4.5 x 0.5) rectangle also has a perimeter = 10, but its area = 2.25. The greatest possible area for a rectangle with perimeter=10 occurs if the rectangle is a square, with all sides = 2.5. Then the area = 6.25. You can keep the same perimeter = 10 and make the area anything you want between zero and 6.25, by picking different lengths and widths, just as long as (length+width)=5.

Related questions

What is the greatest perimeter of a rectangle with an area of 39 feet?

It's greatest possible perimeter: 1+39+1+39 = 80 feet


The perimeter of a rectangle is 26 units. What is the greatest possible area of the rectangle in square units?

42 square units.


What is The length of a rectangle is 4 cm more than the width and the perimeter is at least 48 cm. What are the smallest possible dimensions for the rectangle?

The dimensions of the rectangle will then work out as 14 cm by 10 cm because the perimeter is 14+10+14+10 = 48 cm


What is the greatest possible area for perimeter rectangle of 36 ft?

81 square feet.


What is the greatest possible area of a rectangle having a perimeter of 26 cm?

42.25 cm2


What is the dimensions of a rectangle for the number 32?

It is not possible to answer the question because you have not defined what 32 measures: is it the area of the rectangle, its perimeter, its diagonal or some other property?


What is the greatest possible area of a rectangle having a perimeter of 14 meters?

12.25 sq metres.


The width of a rectangle is 12 cm shorter than the length The perimeter is at least 52 cm What are the smallest possible dimensions of the rectangle?

7 x 19 cm


The length of a rectangle is 4 cm longer than the width and the perimeter is at least 48 cm What are the smallest possible dimensions for the rectangle?

L + W >= 24, L = W + 4, Possible dimensions 14 and 10 giving an area of 140 sq cm.


All possible whole number dimensions for rectangle with perimeter of 10 units?

If the dimensions are restricted to whole numbers, then the only possibilities are 1 x 4 and 2 x 3.


Jim has designed a rectangle with an area of 100 square feet and a perimeter of 401 feet is it possible that Jim's rectangle has whole number side lengths?

No it is not possible the dimensions are 200 by 1/2


What are the perimeter dimensions of a 14-acre rectangle?

Your question cannot be answered. An area of 14 acres is equivalent to 609,840 square feet, but a rectangle with that area could be 609,840 feet by 1 foot, or it could be 1089 feet by 560 feet, or many other possible dimensions, each of which would have a different perimeter.