To find the area of a rectangle with a given perimeter, we need to use the formula for the perimeter of a rectangle, which is 2(length + width) = 16cm. Since the perimeter is given as 16cm, we have 2(length + width) = 16. If we divide by 2, we get length + width = 8. Without knowing the specific dimensions of the rectangle, we cannot determine the exact area.
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Well, well, well, aren't we getting fancy with our geometry questions? If the perimeter of a rectangle is 16cm, that means the sum of all its sides is 16cm. Since a rectangle has two pairs of equal sides, we can divide 16cm by 4 to get each side length, which is 4cm. To find the area, you simply multiply the length and width, so the area of this rectangle would be 16 square centimeters.
Oh, isn't that just delightful? To find the area of a rectangle, we need to know the length and width. With a perimeter of 16cm, we could have different lengths and widths that add up to 8cm each. So, the area could vary depending on the specific dimensions of the rectangle. Just remember, there are endless possibilities to create something beautiful with math!
Any area you want greater than 0 cm2 and less than or equal to 16 cm2.
perimeter_of_rectangle = 2 x (width + length)
16 cm = 2 x (width + length)
⇒ width + length = 8 cm
⇒ length = 8 cm - width
Neither dimension can be negative, so they are both greater than 0 cm and less than 8 cm.
Area_of_rectangle = width x length
⇒ area = width x (8 cm - width)
= 8 x width - width2 cm2
This has a minimum value when width = 0 cm or 8cm of 0 cm2, so the area of the perimeter must be greater than 0 cm2 (as the width can be neither 0 cm nor 8 cm).
This has a maximum value when width = 4 cm:
max_area = 8 x 4 - 42 cm2 = 16 cm2.
when the width is between 0 cm and 4 cm (and so the length is between 8 cm and 4 cm) the area is between 0 cm2 and 16 cm2
When the width = 4 cm, the length is also 4 cm, that is the rectangle is a square.
The greatest area that a rectangle can have is, in fact, attained when it is a square. A square with perimeter of 16 cm must have sides of 4 cm and so an area of 4*4 = 16 cm2.
The perimeter of a rectangle is calculated by adding together all four sides. In this case, the rectangle has a length of 6cm and a width of 2cm. To find the perimeter, you would add the length (6cm) + width (2cm) + length (6cm) + width (2cm) = 16cm. Therefore, the perimeter of a rectangle with sides measuring 6cm by 2cm is 16cm.
The area of square is : 256.0
The perimeter of the rectangle is the sum of its 4 sides.
The length of a rectangle is twice its width. If the perimeter of the rectangle is , find its area.