- What is the maximum area of a rectangle having perimeter L?
- What does perimeter mean?
- What is a perimeter in math?
- What is the minimum perimeter of a rectangle?
- How do you find the dimensions given the perimeter?
- How do you find length and width from perimeter?
- What is a perimeter dimension?
- How do you find the largest area given the perimeter?
- How do you find the dimensions of the area?
- What is the perimeter of a geometric shape?
- Which shape has the greatest perimeter?
What is the maximum area of a rectangle having perimeter L?
Approach: For area to be maximum of any rectangle the difference of length and breadth must be minimal.
So, in such case the length must be ceil (perimeter / 4) and breadth will be be floor(perimeter /4).
Hence the maximum area of a rectangle with given perimeter is equal to ceil(perimeter/4) * floor(perimeter/4)..
What does perimeter mean?
Perimeter is the distance around the outside of a shape. Area measures the space inside a shape. Learn how to calculate perimeter and area for various shapes.
What is a perimeter in math?
Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.
What is the minimum perimeter of a rectangle?
16 inSince there is no rule that states a rectangle cannot have all sides of equal length, all squares are rectangles, but not rectangles are squares. Hence, the minimum perimeter is 16 in with equal sides of 4 in.
How do you find the dimensions given the perimeter?
Explanation: To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
How do you find length and width from perimeter?
Multiply the sum of the length and width by two.You are able to find the perimeter of the rectangle by adding length and width and multiplying by two because the opposite sides of a rectangle are equal in length.Both lengths of the rectangle are the same, and both widths are the same.More items…
What is a perimeter dimension?
A perimeter dimension is used to dimension the total length of a chain or loop of entities. You must select a dimension that the system can adjust to obtain the desired perimeter. This dimension is called the varying dimension.
How do you find the largest area given the perimeter?
A rectangle will have the maximum possible area for a given perimeter when all the sides are the same length. Since every rectangle has four sides, if you know the perimeter, divide it by four to find the length of each side. Then find the area by multiplying the length times the width.
How do you find the dimensions of the area?
Write down the area equation: A = L * W where “A” stands for the area, “L” stands for the length and “W” stands for the width of a rectangle. Solve the area equation: 30 = L * 6. Divide both sides of the equation by 6, and write down the answer. It will look like this: 5 = L.
What is the perimeter of a geometric shape?
The perimeter of geometric shapes is the length of the line defining the shape, or the distance around the shape. For polygons, it is the sum of the lengths of all the straight lines that make up the polygon.
Which shape has the greatest perimeter?
rectangleThey observe that rectangles with the same area can have different perimeters and they discuss how the shape of the rectangle is related to the perimeter. Specifically, for a given area, the longest, skinniest rectangle has the greatest perimeter and the most ”square-like” rectangle has the least perimeter.