SOLUTION: The width of the book is .42 cm shorter than its length. The book's perimeter is 5.96 cm. What are the width and length in centimeters?
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Question 945357: The width of the book is .42 cm shorter than its length. The book's perimeter is 5.96 cm. What are the width and length in centimeters? Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! L=Length; W=Width=L-.42 cm; P=perimeter=2(L+W)
P=2(L+W) divide each side by 2
P/2=L+W Substitute for W
P/2=L+L-.42 cm
P/2=2L-.42cm Add .42 cm to each side
(P/2)+.42 cm=2L Plug in values
(5.96 cm/2)+.42 cm=2L
2.98cm+.42cm=2L
3.4 cm=2L Divide each side by 2
1.7 cm=L ANSWER 1: Length is 1.7 cm
W=L-.42 cm=1.7cm -.42cm=1.28 cm ANSWER 2: Width is 1.28 cm
CHECK
P=2(L+W)
5.96cm=2(1.7cm+1.28cm)
5.96cm=2(2.98cm)
5.96cm=5.96cm
