You can't tell the length and width from the perimeter. There are an
infinite number of of possibilities. The only thing you can tell for sure
is that the length and width add up to 51 (assuming you are asking about a rectangle, other shapes could have much different lengths and widths). A circle with a perimeter of 102 has a length and a width of approximately, 32.268.
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If the shape is a rectangle, then Perimeter = 2(Length + Width) So Width = Perimeter/2 - Length
length = 34 and width = 3 Perimeter = 34+34+3+3 = 74 Area = 34*3 = 102
perimeter = 2 x (length + width) ⇒ length + width = perimeter ÷ 2 ⇒ length = (perimeter ÷ 2) - width So to find the length of the given rectangle, subtract the width from half the perimeter is how to do it. IF you meant "What is the length..." then: length = perimeter ÷ 2 - width = 40 ÷ 2 - 2 in = 20 - 2 in = 18 in
Length + length + width + width = perimeter. Length + width x 2 = perimeter
Perimeter = 2 * width + 2 * length, so rearranging --> width = (Perimeter / 2) - length