<PRE><B>Question 1020774</B>
perimeters equals 2 times the length and 2 times the width.


let P = perimeter and let L = length and let W = width and you get:


P = 2L + 2W.


since P is always 24, then replace P with 24 to get:


24 = 2L + 2W.


solve for L to get:


L = 12 - W.


replace L with y and replace W with x to get:


y = 12 - x.


graph that equation and you get:


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this graph tells you the value of Y given the value of x.


x is the width.
y is the length.


when x = 1, the value of y is 11.


since P = 2 * length + 2 * width, you get P = 2 + 22 = 24.


when x = 4, the value of y is 8, and the perimeter is 8 + 16 = 24.


when x = 8, the value of y is 4, and the perimeter is 16 + 8 = 24.


the perimeter will always be 24, as required.






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