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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.
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What is the perimeter and the area of a rectangle that is 12 feet x 16 feet?
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
Formula of a rectangle?
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.
How do you draw a rectangle with a perimeter of 20 units and an area of 25 square units?
The rectangle is in fact a square with 4 equal sides of 5 units in length.
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.
What is the area of a square with a perimeter of 28?
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
