SOLUTION: Let the width and the length be real numbers. The perimeter remains a constant 24cm. Draw the graph for 1 < w < 11 Label the axes appropriately and name the graph that represents

Algebra ->  Rectangles -> SOLUTION: Let the width and the length be real numbers. The perimeter remains a constant 24cm. Draw the graph for 1 < w < 11 Label the axes appropriately and name the graph that represents       Log On


   

Question 1020774: Let the width and the length be real numbers. The perimeter remains a constant 24cm. Draw the graph for 1 < w < 11 Label the axes appropriately and name the graph that represents this relationship.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
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:

$$$

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.