The perimeter of a rectangle is 18 ft . The width of the rectangle is 7 less than the length . Find the width
Perimeter: 2L + 2W = 18 ft or
L+W = 9
L + (L-7) = 9
2L = 16
L = 8 so,
W = (L-7) = 8-7 = 1 ft <=ANS
Perimeter=18
Perimeter=2L+2W
The width (W) is the length (L) minus 7:
W=L-7
Plug in W:
P=2L+2(L-7)
P=2L+2L-14
P=4L-14
Solve for L, knowing the perimeter is 18:
18=4L-14
32=4L
8=L
Plug the L back into the W equation:
W=8-7
W=1
So the width is 1. I hope this makes sense!
Width = x '
Length = ( x+7) '
Perimeter = 2 ( length + width )
18 = 2 ( x+7 + x)
9 = 2x +7
2x = 2
x = 1
ANSWER width = 1' length = 8'
L+L+(L-7)+(L-7)=4L-14
4L-14=P
4L-14=18
4L-14+14=18+14
4L=32
L= 8
W= L-7
W= 8-7
The width is 1 ft.
P = 2L + 2W
18 = 2L+ 2W
18= 2L+ 2w
-7= W-L ..multiply by two, and solve for L, plug L into equation to find W
Use system of equations, solve for L= 8 and W= 1....check 2(L) + 2(W) does equal 18
simple....its 2
9 = L + W
W=9 - L
then, W=2 if L=7
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Verified answer
Perimeter: 2L + 2W = 18 ft or
L+W = 9
L + (L-7) = 9
2L = 16
L = 8 so,
W = (L-7) = 8-7 = 1 ft <=ANS
Perimeter=18
Perimeter=2L+2W
The width (W) is the length (L) minus 7:
W=L-7
Plug in W:
P=2L+2(L-7)
P=2L+2L-14
P=4L-14
Solve for L, knowing the perimeter is 18:
18=4L-14
32=4L
8=L
Plug the L back into the W equation:
W=L-7
W=8-7
W=1
So the width is 1. I hope this makes sense!
Width = x '
Length = ( x+7) '
Perimeter = 2 ( length + width )
18 = 2 ( x+7 + x)
9 = 2x +7
2x = 2
x = 1
ANSWER width = 1' length = 8'
L+L+(L-7)+(L-7)=4L-14
4L-14=P
4L-14=18
4L-14+14=18+14
4L=32
L= 8
W= L-7
W= 8-7
The width is 1 ft.
P = 2L + 2W
18 = 2L+ 2W
W= L-7
18= 2L+ 2w
-7= W-L ..multiply by two, and solve for L, plug L into equation to find W
Use system of equations, solve for L= 8 and W= 1....check 2(L) + 2(W) does equal 18
simple....its 2
P = 2L + 2W
18 = 2L+ 2W
9 = L + W
W=9 - L
then, W=2 if L=7