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What is the least perimeter of a rectangle with an area of 32 ft.?
To find the least perimeter of a rectangle with a fixed area of 32 square feet, we can use the relationship between area and perimeter. For a rectangle, the area ( A = l \times w ) (length times width) and the perimeter ( P = 2(l + w) ). To minimize the perimeter while keeping the area constant, the rectangle should be a square. The side length of a square with an area of 32 ft² is ( \sqrt{32} ), which is approximately 5.66 ft. Thus, the least perimeter is ( 4 \times \sqrt{32} ), which is approximately 22.63 ft.
The length of a rectangle is fixed at 24 cm what widths will mame the perimeter greater than 100cm?
P (perimeter of a rectangle) = 2*l+2*w 2*24+2*w > 100 2*w > 52 w > 26 Any width greater than 26cm will cause the perimeter to be greater than 100cm.
The width of a retangle is fixed at 16cm what lenghts will make the perimeter greater than 78cm?
The perimeter of a rectangle is 2 x length + 2 x width. If the width is 16 then 78 = 2 x length + 2 x 16 2 x length = 78 - 32 = 46 length = 23. For the perimeter to be greater than 78 cm, the length must be greater than 23 cm
The width of a rectangle is fixed at 14 cm What lengths will make the perimeter greater than 98 cm?
L + W = P/2 = 49 so Length must be greater than 35 cm
Does changing the area affect the perimeter?
Yes, changing the area of a shape can affect its perimeter, but the relationship is not straightforward. For instance, increasing the area of a rectangle can be achieved by altering its length and width, which may increase or decrease the perimeter depending on how the dimensions are adjusted. However, for shapes with fixed proportions, such as circles, an increase in area will always result in an increase in perimeter (circumference). Ultimately, the effect of area change on perimeter depends on the specific shape and how its dimensions are modified.
In general describe the rectangle that has the least area for a fixed perimeter?
For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.
Which rectangle has the greatest area for a fixed perimeter?
The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.
What is the least perimeter of a rectangle with an area of 32 ft.?
To find the least perimeter of a rectangle with a fixed area of 32 square feet, we can use the relationship between area and perimeter. For a rectangle, the area ( A = l \times w ) (length times width) and the perimeter ( P = 2(l + w) ). To minimize the perimeter while keeping the area constant, the rectangle should be a square. The side length of a square with an area of 32 ft² is ( \sqrt{32} ), which is approximately 5.66 ft. Thus, the least perimeter is ( 4 \times \sqrt{32} ), which is approximately 22.63 ft.
Do all shapes with fixed perimeter have same area?
nope because if u have a square with a side length of 4 then the perimeter is 16 and the area is 16 and say if u have a rectangle with side lengths of 2 and 6 then the perimeter is 16 but the area is 12 so the answer is no
The length of a rectangle is fixed at 24 cm what widths will mame the perimeter greater than 100cm?
P (perimeter of a rectangle) = 2*l+2*w 2*24+2*w > 100 2*w > 52 w > 26 Any width greater than 26cm will cause the perimeter to be greater than 100cm.
How do describe a rectangle with whole number dimensions that has the greatest perimeter for a fixed area?
You dont
The width of a retangle is fixed at 16cm what lenghts will make the perimeter greater than 78cm?
The perimeter of a rectangle is 2 x length + 2 x width. If the width is 16 then 78 = 2 x length + 2 x 16 2 x length = 78 - 32 = 46 length = 23. For the perimeter to be greater than 78 cm, the length must be greater than 23 cm
What is the maximum area for a rectangle whose perimeter is 136?
The maximum area for a rectangle of fixed perimeter is that of the square that can be formed with the given perimeter. 136/4 = 34, so that the side of such a square will be 34 and its area 342 = 1156.
What is a fixed area of a rectangle?
A fixed area of a rectangle is an area that doesn't change. An area is a quantity that measures the space of a shape.Consider this example:A = length x width, which is the formula of a rectangleIf A is fixed, then it depends on what values length and width are. Then, length is indirectly proportional to width in order for A to remain fixed.
What is the formula for fixed area of a rectangle?
Area rectangle = length x width (using same units).
What is fixed perimeter?
fixed perimeter is the perimeter being fixed
How do you find the fixed area of a rectangle?
I don't know what you mean by fixed area. All I know is that the area of a rectangle is the length times the width. As long as you don't change the length or the width, or change it into a different kind of shape, this area will remain fixed.
