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Inga is starting a new rectangular garden. She wants the length to be 3 times the width, and she has 56 meters of fencing to put around the garden. Use the system of equations listed below to find the length "L" and width "W" of the garden. 2L+2W=56 and L=3W

is it:
a. W=21, L=7
b.W=3, L=7
c.W=7, L=21
d.W=3, L=21

2007-05-02 19:16:17 · 10 answers · asked by Case 1 in Science & Mathematics Mathematics

10 answers

might want to check my math...I get 'c'
x=width
3x=length
a rectangular garden has 4 sides (2 w-sides and 2 l-sides)
therefore
2(x) +2(3x) = 56
2x + 6x = 56
8x = 56
x = 56 divided by 8
x = 7
This gives you a width of 7.
The length being 3 times the width = 3(7) = 21
CHECK:
2(x) + 2(3x) = 56
2(7) + 2[(3)(7)] =56
14 + 2(21) = 56
14 + 42 = 56
56 =56

2007-05-02 19:39:22 · answer #1 · answered by mimi 3 · 0 0

2L + 2W = 56 (equation 1)
L = 3W (equation 2)

Substitute L = 3W in equation 1 to get
2(3W) + 2W = 56
6W + 2W = 56
8W = 56
So W = 7

Substitute W = 7 in equation 2 to get
L = 3(7)
So L = 21

To check your answer substitute L = 21 and W = 7 in equation one
2L + 2W = 56
2(21) + 2(7) = 56
42 + 14 = 56
56 = 56

So the answer is choice C

2007-05-03 03:01:48 · answer #2 · answered by Anonymous · 0 0

just plug in L=3W into the first equation..

so 2(3W)+2W=56 then solve for W

6W+2W=56
8W=56
W=7

now that you know W you can find L by plugging in W to the second equation.

L=3(7)
L=21

Math is fun!!

2007-05-03 02:31:12 · answer #3 · answered by alexk 2 · 0 0

It's choice a. To solve it, solve the 2nd equation for w (w=L/3). Then plug this into the first equation. You will get L=21. Then plug this value into the first equation to get W=7.

2007-05-03 02:24:04 · answer #4 · answered by jz 2 · 0 0

2L+2W=56 L=3W
2(3W)+2W=56
6W+2W=56
8W=56
W=56/8
W=7

2L+2W=56
2L+2(7)=56
2L+14=56
2L=56-14
2L=42
L=42/2
L=21

2007-05-03 02:38:55 · answer #5 · answered by sam 3 · 0 0

the ans is c. w=7 and l=21

2007-05-03 02:20:21 · answer #6 · answered by feel_d_groove 1 · 0 0

c.W=7, L=21

2007-05-03 02:21:03 · answer #7 · answered by Marc V 1 · 0 0

2L+2W=56 ..........................a
L=3W => L-3W=0................b
multiplying b by 2 gives:-
2L-6W=0.................................b
a-b gives:-
8W=56 => W=7
putting valuue of W in eq. b give:-
L=3(7)=21
sooooooo option c is correct

2007-05-03 02:52:10 · answer #8 · answered by JOHN S 1 · 0 0

2L + 2W = 56
6W + 2W = 56
8W = 56
W = 7
L = 21
Answer c)

2007-05-03 02:30:46 · answer #9 · answered by Como 7 · 0 0

2W +2(3W)=56
8W=56
W=7

L=3*7
L=21

Ans:C

2007-05-03 02:21:04 · answer #10 · answered by Maths Rocks 4 · 0 0

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