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What is the area if the perimeter of a rectangle is 8 meters?
3 square metres
How does the perimeter and area of a square change when its dimensions change?
By ratios Lineaer 1:2 sides ::: 1: 2 perimeter. Area 1:2 sides ::: 1^(2) : 2^(2) Area or 1:2 :: 1:4 Volume 1:2 sides ;; 1:8 volume Algebriacally, Linear a ; b ;; a: b Area a:b :: a^(2) : b^(2) Volume a:b :: a^(3):b^(3)
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.
If a rectangle is 3 inches by 5 inches what is its area?
3 inches times 5 inches = 15 square inches
Why can shapes with the same area have different perimeters?
Shapes with the same area can be different sizes. If you restrict yourself to integers, a rectangle with an area of 12 square inches can have the following dimensions: 1 x 12 (perimeter 26) 2 x 6 (perimeter 16) 3 x 4 (perimeter 14) The long skinny piece has most of its area near the edges. The one that's most like a square has most of its area in the center.
