Algebra Word Problem Help?
2014-01-06 5:40 pm
The perimeter of a rectangle is the sum of all its sides. If the Miller's front lawn is 2 ft. longer than twice the width, and the perimeter is 34 ft. what is the lawns width? The answer is 5 ft I am just not sure how to get that. Please Help!
回答 (5)
2014-01-06 5:48 pm
✔ 最佳答案
Perimeter =( 2 * length ) + (2*width)P = 2l + 2w
the length is 2 * width + 2 so...
l = 2w+2
34 = 2(2w+2) + 2w
34 = 4w+4+2w
34=6w+4
30=6w
5=w
2014-01-06 5:50 pm
"Miller's front lawn is 2 ft. longer than twice the width"
L = 2W + 2
"the perimeter is 34 ft:
2L + 2W = 34
substitution
2(2W + 2) + 2W = 34
4W + 4 + 2W = 34
W = 5 ft
L = 2W + 2
"the perimeter is 34 ft:
2L + 2W = 34
substitution
2(2W + 2) + 2W = 34
4W + 4 + 2W = 34
W = 5 ft
2014-01-06 5:50 pm
X
Y = 2X+2, But you have two of everything, therefore
2X
2Y = 4X+4 and this can be further derived
2X
4X+4
Equals
6X+4 = 34
6X = 34 - 4 = 30
X = 30/6
x = 5
Y = 2X+2, But you have two of everything, therefore
2X
2Y = 4X+4 and this can be further derived
2X
4X+4
Equals
6X+4 = 34
6X = 34 - 4 = 30
X = 30/6
x = 5
2014-01-06 5:48 pm
width = x
length = 2x + 2 (2 ft. longer than twice the width).
Perimeter = 2*length + 2*width
34 = 2*(2x+2)+2x
34 = 4x+4 + 2x
34 = 6x + 4
30 = 6x
x=5.
Width is 5 feet.
length = 2x + 2 (2 ft. longer than twice the width).
Perimeter = 2*length + 2*width
34 = 2*(2x+2)+2x
34 = 4x+4 + 2x
34 = 6x + 4
30 = 6x
x=5.
Width is 5 feet.
2014-01-07 12:33 pm
Width = x '
Length = 2x+2 '
Perimeter = 2 ( length + width )
34 = 2 ( 2x+2 + x)
17 = 3x +2
3x = 15
x = 5 ' ANSWER
Length = 2x+2 '
Perimeter = 2 ( length + width )
34 = 2 ( 2x+2 + x)
17 = 3x +2
3x = 15
x = 5 ' ANSWER
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