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?

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
RELATED QUESTIONS
The length of a rectangle is 15 cm more than its width. A second rectangle whose... (answered by mananth)

The length of a rectangle is 6 centimeters less than twice its width. The perimeter of... (answered by MathLover1)

If the perimeter of a rectangular sign is 44cm and the width is 2 cm shorter than half... (answered by josgarithmetic)

The length of a rectangle is 6 cm more than four times the width. If the perimeter of the (answered by richwmiller)

The length of a rectangle is 5 cm less than twice its width. The perimeter of the... (answered by Nate)

The length of a book is 15mm less than twice its width and the perimeter is 414mm,what... (answered by solver91311)

The length of a red rectangle is 15 cm more than its width w. A blue rectangle, which is... (answered by drj)

the length of a rectangular table is 20 cm longer than its width if the tables perimeter... (answered by oscargut)

the length of a rectangle is 8in. more than its width. The perimeter of the rectangle is... (answered by checkley77)