The length of a rectangle is twice the width. The perimeter is 2cm. Find the length and the width.?

Question

please help and explain asap

Answer 1

w=x
l=2x
2w+2l=P
2x+2(2x)=2
2x+4x=2
6x=2
x= 1/3

width is 1/3 and length is 2/3

Answer 2

The width (w) of the rectangle is x, so the length of the rectangle (l) is equal to 2x. The perimeter (P) is

P= 2(2x) + 2(x)

Simplify to P=6x. P=2cm, so

6x = 2cm
x=1/3 cm

Plug back in, and

width=1/3 cm
length=2/3cm

Answer 3

The length is twice the width.

That means that L = 2W.

The perimeter of the rectangle = 2L + 2W = 2(2W) + 2W

= 4W + 2W
= 6W

6W = 2
W = 2/6 = 1/3.

The width is 1/3 cm. The length is twice that, or 2/3 cm.

Check the answer:

2*(1/3) + 2*(2/3) = 2/3 + 4/3 = 6/3 = 2

It works!

Answer 4

Let W be the width of the rectangle, and let L be the length.
then L = 2 x W

The Perimeter P of the rectangle is:

P = L + L + W + W
P = 2L + 2W

but L = 2W so P = 2(2W) + 2W = 6W

P = 6W = 2 cm.
this means that W = (2/6)cm = (1/3)cm.
and L = 2W = (2/3) cm.

Answer 5

The formula for perimetr is

Let

2w =the length Twice the width

w = the width

2 = the Perimeter

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Solving for w

P = 2L + 2W

2 = 2(2w) + 2w

2 = 4 w + 2w

2 = 6w

2 / 6 = 6w/6

1/3 = w

The answer is w = 1/3

Insert The w value into the equation

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solving for L

P = 2L + 2W

2 = 2L + 2(1/3)

2 = 2L + 2/3

2 - 2/3 = 2L + 2/3 - 2/3

2 - 2/3 = 2L

3(2) - 3/2/3) = 3(2L)

6 - 2 = 6L

4 = 6L

4/6 = 6L/6

2/3 = L

The answer is L = 2/3

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Answer 6

if 2l+2w=2 is for perimeter and l=2w this is how it works because u want to find where they intersect:
2l+2w=2
l=2w You write the two"equations"
2(2w)+2w=2 you substitute the 2w in for l
4w+2w=2 you multiply the 2 by the 2w
6w=2
w=1/3 u divide by 6 so the width is 1/3 cm
l=2w the original one
l=2(1/3) put in w value
l=2/3
see, if u check it u see that 2/3=1/3*2 and that 2/3*2+1/3*2=2
4/3+2/3=6/3=2

Answer 7

Hmm.... seems pretty easy to me.

perimeter = 2x length + 2x width
width = x
length = 2x

2x + 2*2x = 2cm
2x + 4x = 2cm
6x = 2cm
x = 2/6cm or 1/3cm

width = 1/3cm, length = 2/3cm

Answer 8

l = 2w

2 = 2(2w + w)
1 = 3w
w = (1/3)

ANS :
Width = (1/3)cm
Length = (2/3)cm

Answer 9

l=2w

2l+2w=2cm

Substitute l for 2w

2l+l=2
3l=2
l=2/3
since l=2w, w=1/3