SOLUTION: The width of a rectangle is 3 inches less than one-half of its length. If the perimeter of the rectangle is 42 inches, find the area of the rectangle.

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Question 58728This question is from textbook Elementary and Intermediate Algebra
: The width of a rectangle is 3 inches less than one-half of its length. If the perimeter of the rectangle is 42 inches, find the area of the rectangle. This question is from textbook Elementary and Intermediate Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2*LENGTH*2WIDTH=42
LENGTH=X
WIDTH=(X/2)-3
THEN
2X+2(X/2-3)=42
2X+2X/2-6=42
(4X+2X)/2=42+6
6X/2=48
6X=96
X=16 WHICH IS THE LENGTH
THEN WIDTH=16/2-3
OR WIDTH=8-3=5
PROOF
2*16+2*5=42
32+10=42
42=42