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What is the relationship for perimeter and area for rectangle?
There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.
How do you work out area in cm2 from perimeter?
If the sides are in cm, then you would multiply the length of the shape by the width, which equals area. And area is in the unit of the sides but squared. So in this example it would be cm2. ========================================= The answer to the question is: You can't. The perimeter doesn't tell you what the area is. You can have two different drawings with the same perimeter and different areas, or with the same area and different perimeters. Even if they're both triangles, or both rectangles, etc. You can't take perimeter and 'work out' area from it.
A shape with the same area and perimeter?
As a perimeter is a measure of length and has different units to those measuring an area then it is the numerical value that is the same. CIRCLE : area = perimeter occurs when πr2 = 2πr = : r = 2 SQUARE : area = perimeter when d2 = 4d : d = 4, where d is the length of a side.
If two shapes have the same perimeter will they have the same area?
Not at all. For example:A square of 2 x 2 will have a perimeter of 8, and an area of 4. A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero. The circle has the largest area for a given perimeter/circumference.
What is the perimeter of 575 square units?
You can't tell. The area doesn't tell you the dimensions. There are an infinite number of different shapes with different dimensions and different perimeters that all have the same area. -- If the 575 square units of area are in the shape of a circle, then the radius of the circle is 13.53 units and the perimeter (circumference) is 85 units. (rounded) -- If the 575 square units of area are in the shape of a square, then each side of the square is 23.98 units and the perimeter is 95.92 units. (rounded) -- The 575 square units of area could also be a (23 x 25) rectangle, with perimeter of 96. -- The 575 square units of area could also be a (115 x 5) rectangle, with perimeter of 240. -- The 575 square units of area could also be a (575 x 1) rectangle, with perimeter of 1,152.
