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What type of rectangle has the smallest perimeter for the same area?
A square.
What is the smallest figure with a perimeter of 20 but the smallest possible area?
A 9 x 1 rectangle has a perimeter of 20 and an area of 9; A 9.5 x 0.5 rectangle has the same perimeter but an area of 4.75; You can go a long way along this road...
Is there a relationship between the area and the perimeter of a rectangle explain?
Yes, there is. The area of a rectangle sets a lower limit on its perimeter.If the area is A, then the quadrilateral shape with the smallest perimeter has sides of length sqrt(A). Therefore the minimum perimeter is 4*sqrt(A). The perimeter can have any value grater than that since the area of the rectangle can be maintained while making it thinner and longer and thus increasing its perimeter with out any upper limit.
What is the smallest perimeter area 49cm?
I think this means we have a shape with a perimeter 39cm and we are asked what is the smallest area. It is a rectangle of length 19.5cm and width zero. Or perhaps it should read area 49 cm squared., what is the smallest periimeter. A circle with 49=pi x r2. Then perimeter=pi x 2r
What is the greatest perimeter of a rectangle with integer side lengths and an area of 2014 sq cm?
For any given area, the rectangle closest to a square will have the smallest perimeter; and the one that is most "stretched out" has the largest perimeter. In this case, that would be a width of 1 and a length of 2014.
