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What are the two numbers that can be both the perimeter and the area of the same rectangle?
Wiki User
∙ 13y ago
The above can be shown algebraically.
If P = 4s and A = s2, then setting P = A yields
4s = s2
4 = s.
Their is one other solution when the rectangle is not a square. If two sides are 6 and two sides are 3, the area and the perimeter are the same as well.
2(6) + 2(3) = P
12 + 6 = P
18 = P
3 * 6 = A
18 = A
P = A
Wiki User
∙ 13y ago
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One of the two numbers that can be both the perimeter and the area of the same rectangle?
the answer is 18 because 6x3=18 and 6+3+6+3=19
What is the perimeter of a rectangle has an area of 5cm square?
The perimeter of a rectangle cannot be determined with the area alone as the lengths could vary. For example, the perimeter of the rectangle could be 12 (1 and 5) or 9 (2 and 2.5). For both cases, the area is still 5cm2, but the length can still change to result in different results.
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.
Why is finding the perimeter of a triangle related to finding the perimeter of a rectangle?
It is not in all but a trivial sense - that they are both to do with finding the perimeter!
What is the formula to solve for the area of a rectangle?
Make sure you know the length and width of the rectangle in the SAME UNITS ... both in inches, or both in meters etc. Then just multiply the two numbers ... Length x Width. The answer is the area of the rectangle.
Can a rectangle have a greater perimeter and also have a greater area?
Of course, a rectangle can have a greater perimeter and a greater area. Simply double all the sides: the perimeter is doubled and the area is quadrupled - both bigger than they were.
Can a rectangle have a greater perimeter than another one but have a greater area too?
yes it can; a rectangle 5 by 2 has perimeter 14 and area 10 for example; a rectangle 10 by 2 has perimeter 24 and area 20, both greater.
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
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.
One of the two numbers that can be both the perimeter and the area of the same rectangle?
the answer is 18 because 6x3=18 and 6+3+6+3=19
Two polygons that have the same perimeter but a different area?
For example, a 1x15 rectangle and a 2x14 rectangle. They both have perimeter of 32, but they have areas of 15 and 28, respectively.
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.
What is the perimeter of a rectangle has an area of 5cm square?
The perimeter of a rectangle cannot be determined with the area alone as the lengths could vary. For example, the perimeter of the rectangle could be 12 (1 and 5) or 9 (2 and 2.5). For both cases, the area is still 5cm2, but the length can still change to result in different results.
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 rectangles with the same perimeter have different areas?
Yes. Say there are two rectangles, both with perimeter of 20. One of the rectangles is a 2 by 8 rectangle. The area of this rectangle is 2 x 8 which is 16. The other rectangle is a 4 by 6 rectangle. It has an area of 4 x 6 which is 24.
How are the perimeter and area of a rectangle affected if the legth and the width are changed proportionally?
If the length and width of a rectangle are both multiplied by K, then the originalperimeter is multiplied by K, and the area is multiplied by K2 .
What is the perimeter of 22cm and area?
There are a lot of different shapes with a perimeter of 22 cm, all with different areas. For example, a rectangle of 1 cm by 10 cm has an area of 10 sq. cm; a rectangle of 2 cm by 9 cm has an area of 18 sq. cm. Both have a perimeter of 22 cm. It depends on the shape.
