The length of a rectangle is 2cm more than 3 times the width. If the perimeter of the rectangle is 36cm,?

Question

what are the dimensions?

Answer 1

4 x 14; 4 is the width

Answer 2

Assume the rectangle has a,b sides (in cm).
Then its perimeter is 2(a+b)=36cm. (1)
Let's say that a=length, b=width (without loss of generality).
Then a=2+3b (2). Plug this into (1) and get
2((2+3b)+b)=36cm or (2+4b)=18, 4b=18-2=16, b=16/4=4.
Then plug b=4 into (2). You get a=14.

Answer 3

Let the width be x cm.
The length is 2+3x. Hence perimeter = 2*{x+(2+3x)}=4+8x = 36.
Hence x=32/8=4 cm and so length = 14 cm.

Answer 4

l = 3 w + 2, 36 = 2 l + 2 w = 6w + 4 + 2 w , 32 = 8 w, w=4. l = 14

Width 4 cm Length 14 cm

Answer 5

You solve this by setting up simultaneous equations...

First sentence translation: length is 2cm plus 3 widths or:

L = 2 + 3W

If you add up all the lengths and widths you get the perimeter:
L + W + L + W = 36.. or:
2L + 2W = 36
L + W = 18 (reduced by dividing by 2)

now solve one of these equations for either L or W and then substitute the value you get into the other equation for it and solve for the other one.. then you substitute the numerical value into one of the equations and get the numerical value of the first variable you solved for.

L + W = 18
L = 18 - W (subtracted W from both sides)

L = 2 + 3W (other equation)
18 - W = 2 + 3W (substituted in value of L)
now solve for W and then put the value of W into one of the equation and solve it for L

Answer 6

width = x
length = 2+3x

Perimeter:
x+x+2+3x+2+3x=36
8x+4 =36
8x =32 -----> Width is x, so it's 4
x = 4 -----> Length is 2+3x, so it's 14

Answer 7

Perimeter formula

P= 2L + 2W

36 = 2(3W + 2) + 2W

36 = 6W + 4 + 2W

36 = 8W + 4

36 - 4 = 8W + 4 - 4

32 = 8W

32/8 = 8W/8

32/8 = W

4 = W

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The width is 4 cm

The lenth is 14 cm

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