2006-08-15 06:38:15 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
W = 7
L = 2W + 3
2W + 2L = 2W + 4W + 6 = P = 48
6W + 6 = 48
6W = 42
W = 7
2006-08-15 06:46:25 · answer #1 · answered by TJ 6 · 0⤊ 0⤋
Let L = length of rectangle
Let W = width of rectangle
L = 2W + 3
There's your first equation.
You know that when you find a perimeter, you add the length of all sides right?
P = W + W + L + L
There are two W's so make that 2W and there are two L's so make that 2L.
P = 2W + 2L
There's your second eqation.
Since you know that the value of L is 2W + 3, plug that into the L spot in the second equation. You also already know the perimeter, so plug that in also.
48 = 2W + 2(2W + 3)
48 = 2W + 4W + 6
48 = 6W + 6
42 = 6W
7 = W
You know now that the width is 7 feet. You did not ask to find the length, but just in case you need it...
L = 2W + 3
L = 2(7) + 3
L = 14 + 3
L = 17
The length is 17 feet.
2006-08-15 08:13:50 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Perimeter Formula
P = 2L + 2W
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48 = 2(2w + 3) + 2w
48 = 4w + 6 + 2w
The distributive Property
48 = 6w + 6
Collecting like terms
48 = 6w + 6
-6 -6
Subtracting -6 from both sides
42 = 6w
42/6 = 6w/6
Dividing 6 from both sides
7 = w
The width is seven (7) feet
Insert x value (7) into the perimeter formula
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Proof
P= 2(2w + 3) + 2w
48 = 2[2(7) + 3] + 2(7)
48 = 2[14 + 3] + 14
48 = 2[17] + 14
48 = 34 + 14
48 = 48
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The answer is
Width equals seven (7) feet
2006-08-15 08:39:39 · answer #3 · answered by SAMUEL D 7 · 0⤊ 0⤋
Oops the first guy missed a step
Length = 2W + 3 = L
Perimeter = 2(w +L) = 48
substituting w for L in the second equation yield
2(w + 2w + 3 ) = 48
Solving for w , w = (48-6)/6
w = 7
2006-08-15 07:01:57 · answer #4 · answered by Roadkill 6 · 0⤊ 0⤋
l = 2w + 3
P = 2(l + w)
48 = 2((2w + 3) + w)
48 = 2(2w + 3 + w)
48 = 2(3w + 3)
48 = 6(w + 3)
8 = w + 1
w = 7
l = 2(7) + 3 = 14 + 3 = 17
ANS : 7ft
2006-08-15 10:00:49 · answer #5 · answered by Sherman81 6 · 0⤊ 0⤋
Width = x, then Length = 2x + 3, so P = (x) + (x) + (2x +3) + (2x + 3) = 6x + 6 = 48. So 6x = 42. So x = 7.
2006-08-15 06:45:15 · answer #6 · answered by starr_man 1 · 0⤊ 0⤋
since perimeter is 48.thus the thust the sum of all sides is 48 ie
2l+2w=48;
ie l+w=24........................................(A)
now l=2w+3
putting value of l in (A)
2w+w+3=24
ie 3w=21
ie w=7
where w=width
l=length
therefore the Width of the rectangle is "7"
2006-08-15 06:52:19 · answer #7 · answered by navneet 1 · 0⤊ 0⤋
WIDTH=7
LENGTH=17
PERIMETER=48
2006-08-15 07:45:40 · answer #8 · answered by blahblah 2 · 0⤊ 0⤋
width = x
2[(2x + 3) +x] = 48
2x + 3 + x = 24
3x = 21
x = 7
width = 7
2006-08-15 06:51:26 · answer #9 · answered by Underwonder 2 · 0⤊ 0⤋
2(w+3w)=48
4w=24
w=6
2006-08-15 06:43:34 · answer #10 · answered by ever_curious 3 · 0⤊ 2⤋