Greatest area is achieved by a square whose sides are 72/4 = 18 cm.
The area, in that case, is 18*18 = 324 cm2
If the shapes are similar, such are all circles or all squares, those with the largest perimeters would also have the largest areas. However, in general there is no direct relation. For example a 2 by 2 rectangle has an area of 4 and a perimeter of 8, but a 2000 by 0.0005 rectangle has an area of 1 and a perimeter of 4000.001.
Yes it is possible. Consider these two shapes with the same area: a 2-inch square and a 1-inch x 4-inch rectangle both have the same area of 4 sq inches. However, the square has a perimeter of 8 inches while the rectangle has a perimeter of 10 inches. By the way, the shape with the largest area for a given perimeter is a circle.
Type your answer here... give the dimensions of the rectangle with an are of 100 square units and whole number side lengths that has the largest perimeter and the smallest perimeter
This question has no unique answer. A (3 x 2) rectangle has a perimeter = 10, its area = 6 A (4 x 1) rectangle also has a perimeter = 10, but its area = 4 A (4.5 x 0.5) rectangle also has a perimeter = 10, but its area = 2.25. The greatest possible area for a rectangle with perimeter=10 occurs if the rectangle is a square, with all sides = 2.5. Then the area = 6.25. You can keep the same perimeter = 10 and make the area anything you want between zero and 6.25, by picking different lengths and widths, just as long as (length+width)=5.
The answer depends on what your criterion for deciding what is "largest". Any rectangle will have an area of 47916 square feet. Its perimeter can be infinitely large.
Largest = 86, Smallest 26
The smallest is just over 40 units. At 40 units it is no longer a rectangle but a square. There is no largest perimeter.
The smallest perimeter is 4*sqrt(24) = approx 19.6 cm There is no largest perimeter.
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.
If the shapes are similar, such are all circles or all squares, those with the largest perimeters would also have the largest areas. However, in general there is no direct relation. For example a 2 by 2 rectangle has an area of 4 and a perimeter of 8, but a 2000 by 0.0005 rectangle has an area of 1 and a perimeter of 4000.001.
52 ft
Yes.
NO, because if you did it would be a square
(p/4)2, where p is the perimeter.
No, it is not possible for a rectangle to have a perimeter of 46 and an area of 42 simultaneously. For a rectangle, the perimeter ( P ) is given by ( P = 2(l + w) ), and the area ( A ) is ( A = l \times w ), where ( l ) is the length and ( w ) is the width. Solving these equations shows that the dimensions needed for these values are inconsistent, meaning no such rectangle exists.
Yes it is possible. Consider these two shapes with the same area: a 2-inch square and a 1-inch x 4-inch rectangle both have the same area of 4 sq inches. However, the square has a perimeter of 8 inches while the rectangle has a perimeter of 10 inches. By the way, the shape with the largest area for a given perimeter is a circle.
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.