The length of a rectangle is 1 in. more than twice its width. If the perimeter of the rectangle is 26 in., find the width of the rectangle.
2007-03-14 02:56:54 · 5 answers · asked by Michelle P 1 in Science & Mathematics ➔ Mathematics
Perimeter of a rectangle is given by
P =2 (l +w)
where P is perimeter( = 26), l is length and w is width
we know that l= 2w +1
P= 2(2w+1+w) = 2(3w+1)
26 = 2(3w+1)
13 = 3w +1
3w = 12
w = 12/3 =4.
width is 4 inches long.
2007-03-14 03:03:50 · answer #1 · answered by The exclamation mark 6 · 0⤊ 0⤋
L + 1 = 2W
2L + 2W = 26
add the two equations together
3L + 2W + 1 = 2W + 26
cancel
3L = 25
L = 25/3 = 8 + 1/3
W = L/2 + 1/2
W = 4 + 1/6 + 1/2
W = 4.66666666
L = 8.33333333
check 2L + 2W = 26
ugly answer: Width = 4 and 2/3 or 14/3 or 4.666666666
2007-03-14 03:11:25 · answer #2 · answered by royalsampler 1 · 0⤊ 0⤋
The width is 4
length is 9
2007-03-14 03:03:53 · answer #3 · answered by jessie 2 · 0⤊ 0⤋
w= width
L=length
2w + 2L = 26
L = 2w+1
so
2w + 2(2w + 1)=26
6w=24
w = 4
2007-03-14 03:03:41 · answer #4 · answered by blighmaster 3 · 0⤊ 0⤋
L-1=2W
26 = 2L +2W = 2L +(L-1) = 3L -1
27=3L, L=9; W = 4
2007-03-14 03:01:51 · answer #5 · answered by fcas80 7 · 1⤊ 0⤋