SOLUTION: A graphic artist needs to construct a design that uses a rectangle whose length is 5 cm longer than its width x. (a) Construct a model that gives the perimeter P(x) of the rectang

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Question 1118799: A graphic artist needs to construct a design that uses a rectangle whose length is 5 cm longer than its width x.
(a) Construct a model that gives the perimeter P(x) of the rectangle.
(b) If the perimeter of the rectangle is 38 cm, what are the dimensions of the rectangle?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
width x
length x+5
P(x) perimeter

P%28x%29=2%28x%2B5%29%2B2x
P%28x%29=2x%2B10%2B2x
highlight%28P%28x%29=4x%2B10%29

If P is given and x is unknown, then solve for x.
4x%2B10=P
4x=P-10
x=%28P-10%29%2F4
-
IfgivenP=38,
x=%2838-10%29%2F4
x=7andx%2B5=12