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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
Which rectangle has the greatest area for a fixed perimeter?
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.
What is the perimeter and area of a rectangle with the sides equal to 5 inches and 7 inches?
Perimeter:20 inches Area:35
What is the perimeter of a rectangle with an area of 24cm?
The perimeter of the rectangle is the sum of its 4 sides.
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
If sides of rectangle A to rectangle B has ratio 4 to 5. What would the perimeter of rectangle A if the rectangle B has a perimeter of 100 What about area of Rectangle A if the area of rectangle B is?
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.
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.
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 is the area of a rectangle with a perimeter of 30cm?
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 )
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 you calculate the area if you have the perimeter and one side?
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.
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.
If you know the perimeter of a rectangle but not the length of its sides can you calculate its area?
yes
