lenght of a rectangle is 5cm less than 3 times its width, If perimeter of the retangle is 46 cm what is the de

Question

the length of a rectangle is 5cm less than 3 times its width, If the perimeter of the retangle is 46 cm what is the demensions of the rectangle?

Answer 1

If L = Length
W = width
Perimeter = P = L + L + W + W
P = 2L + 2W ... (1)

But in this question
L - 5 = 3W
L = 3W + 5 ... (2)

Substitute this value of L in (1)
P = 2(3W + 5) + 2W

P = 46
46 = 2(3W + 5) + 2W
46 = 6W + 10 + 2W
46 - 10 = 6W + 2W
36 = 8W
W = 36/8
W = 4.5 cm

Substitute this value of W in (2)
L = 3W + 5
L = 3(4.5) + 5
L = 13.5 + 5
L = 18.5cm

Check ...1
P = 2L + 2W
46 = 2(18.5) + 2(4.5)
46 = 37 + 9
46 = 46!

Check ... 2
L - 5 = 3W
18.5 - 5 = 3(4.5)
13.5 = 13.5!

Answer 2

The perimeter of a rectangle is 2(L + W) where L is the length and W is the width of the rectangle. We are given that 2(L + W) = 16 We are also given that: L = 3W - 4 Substitute this in the first equation to get: 2(3W - 4 + W) = 16 4W - 4 = 8 4W = 12 W = 3 The width of the rectangle is 3 feet. If the width is 3, then, L = 3W - 4 L = 3(3) - 4 L = 9 - 4 L = 5 The length is 5 feet

Answer 3

Let x = the width of the rectangle

Let the length = 3 times the width minus 5 = 3x-5

So the perimeter is 46 the equation in unsimplified form is:

46=2(3x-5)+2x using the distributive method the queation will look like this:

46=6x-10+2x combine like terms to simplify; 46=8x-10

Add 10 to both sides of the equation 56=8x.

Divide 8 to both sides 7 = x, Therefore length = ( 3 * 7 - 5) = 16 dimensions are 7 + 7 +16 +16 = 46

Answer 4

Let the width =x

The length is therefore 3x-5

The perimeter of a rectangle is 2*width + 2*length so

2x+2(3x-5)=46
8x=56
x=7

Substitute x=7 into 3x-5
Gives the length as 16

So width =7, length =16

Answer 5

To solve this follow this steps:
a=longitud
b= ancho
p= perimetro
p= 2*a+2*b
a= 3*b-5cm, reemplazando en la formula
p= 2*(3*b-5cm)+2*b
2*(3*b-5cm)+2*b=46 cm
Soluciona esta ecuación para b.
Sorry for the Spanish but that was my ancestors' language and I love to practice it.

Answer 6

length = 16 cm
width = 7 cm

Answer 7

L=3W-5
L-3W=-5
2L+2W=46
so L+W=23
L-3W=-5
subtracting
4W=28
W=7
substituting
L=16
check
16=21-5
checks

Answer 8

8x-10=46

Solved for x.

Then the width of one side is just x (the value that you got originally), and the length of one side would be whatever you get when you plug in the value you get for x into the equation 3x-5.