You can't tell the dimensions from the perimeter. There are an infinite number of
rectangles, with different dimensions, that all have the same perimeter. If it's 168,
then the only thing you can be sure of is that the length and width add up to 84,
but you can't tell what either of those dimensions must be.
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If the shape is a rectangle, then Perimeter = 2(Length + Width) So Width = Perimeter/2 - Length
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
The width is half the length: The perimeter is twice the length plus twice the width. If the perimeter is 3 times the length, twice the width must be the length.