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Perimeter = 2 x (length + width), area = Length x width. Perimeter is not directly related to area except in the cases of circles and squares.

Consider a rectangle of 60 sq cm: the integer possibilities for length and width are numerous: 1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12 and 6 x 10.

The respective perimeters are 122 cm, 100 cm, 46 cm, 38 cm, 34 cm and 32 cm.

Note that the nearer the shape becomes to a square, the smaller the perimeter. (A square would have a perimeter of a whisker under 31 cm.)

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Q: If 2 different rectangles have the same perimeter why is the area different for each?
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What is the area and perimeter of a large square if two congruent rectangles are arranged so they from a square with each perimeter of rectangles is 36 inches?

area = 144 square units perimeter = 48 units


If two rectangles have the same area do they also have to have the same perimeter?

Not necessarily. Let's say that there is a circle with the area of 10. Now there is a star with the area of 10. They do not have the same perimeter, do they? That still applies with rectangles. There might be a very long skinny rectangle and a square next to each other with the same area, but that does not mean that they have the same perimeter. Now if the rectangles are congruent then yes.


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The perimeter is the outside of a shape and the area is the inside of it


What is the area of a rectangle with a perimeter of 42cm?

You can't tell the area from knowing the perimeter. There are an infinite number of different rectangles, all with the same perimeter, that all have different areas. Here are a few rectangles that all have perimeters of 42. The last number after each one is its area: 1 cm by 20 cm . . . . . 20 square centimeters 2 x 19 . . . . . 38 3 x 18 . . . . . 54 4 x 17 . . . . . 68 5 x 16 . . . . . 80 10 x 11 . . . 110


How do you work out perimeter and area?

It is different for each shape. A perimeter is the distance around an object and the area is the square units it takes up.


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The answers depend on what measures are available for the rectangles (sides, diagonals), for the triangle (3 sides, 2 sides and included angle, one side and 2 angles), and for the circle (radius, perimeter). In each case the formula to be used will be different.


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How do you find the perimeter area of a box?

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