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The perimeter of a rectangle can be expressed as [2 * ( L+ W )]. The area of a rectangle can be expressed as [L * W]. Thus, the equation can be written as:
2 * ( L + W ) = L * W
The answer originally posted on this page suggested the only solution is when the shape of the rectangle (four-sided object, opposite sides are equal length) is a square (four-sided object, all sides are equal length) with sides equal to 4.
Actually, a 6 x 3 (or 3 x 6) rectangle satisfies the equation, as it has an area and perimeter both equal to 18.
Keep in mind this is considering the rectangle sides must have integer values (positive number that is not a fraction), which is actually in accordance with the way the problem was posed going back to its original roots.
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Do figures with the same perimeter have the same area?
not necessarily. take the example of a 3x3 square and a 4x2 rectangle. Both have a perimeter of 12. but the square has an area of 9 and the rectangle has an area of 8.
Can two parallelograms have the same perimeter but different areas?
yes, for example: a 4 by 5 rectangle has an area of 20 and a perimeter of 18 a 2 by 7 rectangle has an area of 14 and a perimeter of 18 they both have a perimeter of 18
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.
The length of a rectangle is twice its width If the perimeter of the rectangle is 54y find its area?
The length of a rectangle is twice its width. If the perimeter of the rectangle is , find its area.
If a rectangle has the same area does it have the same perimeter?
No.For example, a 1 metre * 72 metre rectangle and a 8 metre * 9 metre rectangle both have areas of 72 square metres. But the perimeter of the first is 146 metres while that of the second is 34 metres.
If same area in a rectangle does that mean same perimeter?
No. For example, a 4x1 rectangle will have an area of 4 and a perimeter of 10. A 2x2 rectangle will have the same area of 4, but a perimeter of 8.
The area of a rectangle is 100 inches the perimeter is 40 a second rectangle has the same area but a different perimeter. Is the second rectangle a square?
the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.
The area of a rectangle is 100 square inches The perimeter of the rectangle is 40 inches A second rectangle has the same area but a different perimeter Is the second rectangle a square?
yes
In general describe the rectangle that has the least area for a fixed perimeter?
For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.
Does a equable rectangle have the same area and perimeter?
yes
Do figures with the same perimeter have the same area?
not necessarily. take the example of a 3x3 square and a 4x2 rectangle. Both have a perimeter of 12. but the square has an area of 9 and the rectangle has an area of 8.
Show you 2 rectanglesthat have the same area and different perimeter?
A rectangle with sides of 1cm and 6cm has an area of 6 cm2 and a perimeter of 14 cm. A rectangle with sides of 2cm and 3cm has the same area but its perimeter is 10 cm.
What type of rectangle has the smallest perimeter for the same area?
A square.
How can the perimeter stay the same and the area change?
4x4 square: perimeter - 16 area - 16 6x2 rectangle perimeter - 16 area - 12
Can a rectangles perimeter be the same as the area?
Yes, it can because a 3 by 6 rectangle has the perimeter of 18 and has the area of 18! :)
If two rectangle have the same area must they have the same perimeter?
Not always because a 2 by 12 rectangle will have the same area as a 4 by 6 rectangle but they both will have different perimeters.
Can two parallelograms have the same perimeter but different areas?
yes, for example: a 4 by 5 rectangle has an area of 20 and a perimeter of 18 a 2 by 7 rectangle has an area of 14 and a perimeter of 18 they both have a perimeter of 18
