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perimeter = 2 x (width + length)

area = width x length

If area = perimeter then:

width x length = 2 x width + 2 x length

width x length - 2 x length = 2 x width

length x (width - 2) = 2 x width

length = 2 x width / (width - 2)

So any rectangle with length and width that satifies the above will work, for example:

width = 2.5, length = 10, area: 2.5 x 10 = 25; perimeter: 2x(2.5+10) = 2x12.5 = 25

width = 3, length = 6, area: 3x6 = 18; perimeter: 2x(3+6) = 2x9 = 18

width = 4, length = 4, area: 4x4 = 16; perimeter: 2x(4+4) = 2x8 = 16

By making the length dependent on the width, the width must be at least 2.

Once the 4x4 square has been reached, the width becomes larger than the length, but the pair will also be given if the width is the smaller dimension, for example, a width of 6 gives a length of 2 x 6 / (6 - 2) = 12 / 4 = 3, which matches the length of 6 being given by a width of 3.

Q: What Sides of a rectangle give perimeter equal to to area?

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A rectangle has 2 pairs of equal sides. perimeter is the sum of the lengths of all sides: Perimeter = 12 + 12 + 16 + 16 = 56 Ft Area = 12 x 16 = 192 Ft2

There is no formula for a rectangle. There are formula for calculating its area, perimeter or length of diagonals from its sides, or it is possible to calculate the length of one pair of sides given the other sides and the area or perimeter, or the two lots of sides given area and perimeter and so on.

The rectangle is in fact a square with 4 equal sides of 5 units in length.

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.

Squares have 4 equal sides. So lets set x equal to one of the sides of the square. x = one side of the square The perimeter of a square is the distance around the outside. This is equal to the sum of the lengths of the sides. Because a square has 4 sides the perimeter is as follows 4x = perimeter Solving for x in this case gives you 7. The area of any rectangle is equal to the base * height. In a square this means side * side or side2. area = x2 Solving for the area in the case given we find that the area of a square with a perimeter of 28 is equal to 49 units2

Related questions

The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.

Perimeter:20 inches Area:35

The perimeter of the rectangle is the sum of its 4 sides.

A rectangle has 2 pairs of equal sides. perimeter is the sum of the lengths of all sides: Perimeter = 12 + 12 + 16 + 16 = 56 Ft Area = 12 x 16 = 192 Ft2

The perimeter of rectangle A would then be 80 because 80 to 100 is 4 to 5 simplified and the area of triangle A would depend on the sides and area of rectangle B which have not been given.

There is no formula for a rectangle. There are formula for calculating its area, perimeter or length of diagonals from its sides, or it is possible to calculate the length of one pair of sides given the other sides and the area or perimeter, or the two lots of sides given area and perimeter and so on.

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.

Let h and w equal the dimensions of the rectangle and A equal its area 2h + 2w = 30 The perimeter of the rectangle is the sum of its sides, two widths and two heights h*w = A The formula for the area of a rectangle We have two equations but three unknown variables. Without more information about this rectangle, it is impossible to solve for the area from the perimeter alone unless this rectangle was specified as being a square (which gives us a third equation, b = h )

The rectangle is in fact a square with 4 equal sides of 5 units in length.

Only if you have one additional piece of information, such as that it is a rectangle or a triangle, or that all sides are equal.

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.

You add all the sides up.