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If farmer Dan has 100 feet of fencing write an inequality to find the dimensions of the rectangle with the largest perimeter that can be created using 100 feet of fencing?
To find the dimensions of a rectangle with the largest perimeter using 100 feet of fencing, we can express the perimeter ( P ) of a rectangle in terms of its length ( l ) and width ( w ) as ( P = 2l + 2w ). Since the total amount of fencing is 100 feet, we set up the inequality ( 2l + 2w \leq 100 ). Simplifying this gives ( l + w \leq 50 ). The dimensions that maximize the area (which is a related concept) would be when ( l = w = 25 ) feet, creating a square shape.
What is the largest and smallest rectangle with the perimeter of 16?
A 4 by 4 and a 1 by 7.
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.
What are the dimensions of the largest rectangular pen that can be enclosed with 64 meters of fence?
To find the dimensions of the largest rectangular pen that can be enclosed with 64 meters of fence, we can use the formula for the perimeter of a rectangle, which is (P = 2(l + w)), where (l) is length and (w) is width. Setting the perimeter equal to 64 meters gives us (l + w = 32). To maximize the area (A = l \times w), we can express (w) as (w = 32 - l) and find the maximum area occurs when (l = w = 16). Therefore, the dimensions of the largest rectangular pen are 16 meters by 16 meters, making it a square.
What do you notice about the area of shapes that have the same perimeter?
That two different shapes may well have the same perimeter, but different areas. As an example, a 3 x 1 rectangle and a 2 x 2 rectangle have the same perimeter, but the area is different.
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
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.
For a rectangle with a perimeter 72 to have the largest area what dimensions should it have Enter the smaller value first?
Since the largest area would be obtained by having adjacent sides equal to each other, and since a square is at least technically an equilateral rectangle, divide the perimeter of 72 by 4 to get sides of 18 and an area of 324.
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.
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a in C programming?
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a in C programming
If farmer Dan has 100 feet of fencing write an inequality to find the dimensions of the rectangle with the largest perimeter that can be created using 100 feet of fencing?
To find the dimensions of a rectangle with the largest perimeter using 100 feet of fencing, we can express the perimeter ( P ) of a rectangle in terms of its length ( l ) and width ( w ) as ( P = 2l + 2w ). Since the total amount of fencing is 100 feet, we set up the inequality ( 2l + 2w \leq 100 ). Simplifying this gives ( l + w \leq 50 ). The dimensions that maximize the area (which is a related concept) would be when ( l = w = 25 ) feet, creating a square shape.
What is the largest and smallest perimeter possible for a rectangle with a area of 42?
Largest = 86, Smallest 26
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.
What is the largest and smallest rectangle with the perimeter of 16?
A 4 by 4 and a 1 by 7.
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.
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 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.
