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What is the largest possible area for a rectangle with a perimeter of 72 cm?
Wiki User
∙ 12y ago
Greatest area is achieved by a square whose sides are 72/4 = 18 cm.
The area, in that case, is 18*18 = 324 cm2
Wiki User
∙ 12y ago
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Do shapes with the largest area have the largest perimeter?
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.
Is it possible for two shapes to have the same area but different perimeters?
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.
Find the dimensions of the rectangle with an area of 100 square units and whole-number side lengths that has the largest perimeter or the smallest perimeter?
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
A rectangle has a perimeter of 10 ft Write the area A of the rectangle as a function of the length of one side x of the rectangle?
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.
What is the largest rectangle you can have using 47916 square feet?
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.
What is the largest and smallest perimeter possible for a rectangle with a area of 42?
Largest = 86, Smallest 26
What is the largest and smallest perimeter possible for a rectangle with a area of 100?
The smallest is just over 40 units. At 40 units it is no longer a rectangle but a square. There is no largest perimeter.
What is the largest and the smallest perimeter possible for a rectangle with a area of 24cm2?
The smallest perimeter is 4*sqrt(24) = approx 19.6 cm There is no largest perimeter.
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.
Do shapes with the largest area have the largest perimeter?
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.
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.
Is it possible to have a rectangle with the same perimeter and area?
NO, because if you did it would be a square
What is the least possible perimeter for a rectangle with an area of 169ft2?
52 ft
Is it possible for a rectangle to have a same numerical perimeter and area measure?
Yes.
What is the larest area possible for any rectangle with the same perimeter?
(p/4)2, where p is the perimeter.
Is it possible for two shapes to have the same area but different perimeters?
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.
What is the relationship between the length and width that will provide the largest area of a three sided rectangle?
There is no such thing as a three sided rectangle. They have four sides. Length and width of a rectangle being THE SAME (having a 1:1 ratio) will provide the largest area possible. In other words, for a given perimeter, a square is the largest rectangle. If you mean a triangle (which has three sides), then all sides being equal will still yield the largest area.
