A rectangular Persian carpet has a perimeter of 200 inches. The length of the carpet is 20 in. more than the width. What are the dimensions of the carpet?
2007-07-27 05:44:11 · 5 answers · asked by koka 1 in Science & Mathematics ➔ Mathematics
P = 2l + 2w = 200
l = 20 + w
2(20 + w) + 2w = 200
40 + 2w + 2w = 200
4w = 160
w = 40 inches
l = 60 inches
2007-07-27 05:47:40 · answer #1 · answered by Becky M 4 · 0⤊ 0⤋
Lets say that x is the length. Then (x-20) is the width.
So the perimeter is 2*(length+width) = 2*(x+x-20) = 2*(2*x-20) = 4*(x-10)
But the perimeter is 200. So we have:
4*(x-10)=200 -> x-10=50 -> x=60
So length=60 and width=60-20=40.
Lets do that again with number replacement.
Length=60,width=40
perimeter=2*(l+w)=2*(60+40)=200, which is correct :)
2007-07-27 12:52:49 · answer #2 · answered by jouliesk 1 · 0⤊ 0⤋
P=2L+2W=200
L=20+W
200=2(20+W)+2W
200=40+2W+2W
200=40+4W
160=4W
40=W
60=L
2007-07-27 12:49:52 · answer #3 · answered by Alexis P 2 · 0⤊ 0⤋
Becky has the right answer even if it's just an ordinary carpet.
2007-07-27 12:49:35 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋
Why are all your questions about your homework?
2007-07-27 12:53:19 · answer #5 · answered by Karla 3 · 0⤊ 0⤋