SOLUTION: the length of a rectangular sheet of paper is 4 inches longer than its width. the perimeter is 40. what is the length of the sheet of paper
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Question 949088: the length of a rectangular sheet of paper is 4 inches longer than its width. the perimeter is 40. what is the length of the sheet of paper Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! L=length; W=width=L-4; P=perimeter=2(L+W)=40
P=2(L+W)
40=2(L+W)Divide each side by 2
20=L+W Substitute for W
20=L+(L-4) Add 4 to each side
24=2L Divide each side by 2
12=L ANSWER The length of the paper is 12 inches.
CHECK
W=L-4
W=12-4=8 the width of the paper is 8 inches
P=2(L+W)
40=2(L+W)
40=2(12+8)
40=2(20)
40=40
