The length of a rectangle multiplied by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and width.

Answers

Answer 1

Answer:

W=1 4/5 feet

L= 2 2/5 feet

Step-by-step explanation:

3L = 4W     L = 4W/3

2L+2W = 8 2/5

Substitute L

2(4W/3)+2W = 8 2/5

8W/3+2W = 8 2/5

multiply both sides by 3

8W+6W = 24 6/5

14W = 25 1/5

Divide both sides by 14

14W/14 = (25 1/5)/14

W = (126/5)/14 = 9/5 = 1 4/5

Substitute for W

L = 4(1 4/5)/3

L = (4)(9/5)/3 = (36/5)/3 = 12/5 = 2 2/5

Answer 2

The perimeter is an enclosed area of any two or one-dimensional shape.

The perimeter of a rectangle is given by:

[tex]\rm P = 2 ( L + B )[/tex]

The length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and the width of the rectangle is [tex]\rm 1\dfrac{4}{5} feet[/tex].

This can be calculated by:

Given,

Perimeter (P) = [tex]\rm 8 \dfrac{2}{5} feet[/tex]

Let,

Length = L

Width = W

Since,

3L = 4W

[tex]\rm L = \dfrac{4W}{3}[/tex]

Substituting the value of L in the equation of perimeter:

[tex]\rm 2(\dfrac{4W}{3}) + 2W = 8 \dfrac{2}{5}[/tex]

[tex]\rm \dfrac{8W}{3} + 2W = 8 \dfrac{2}{5}[/tex]

Now multiplying the left and right sides by 3 we get:

[tex]\rm 8W+6W = 24 \dfrac{6}{5}[/tex]

[tex]\rm 14W = 25 \dfrac{1}{5}[/tex]

Now divide both sides by 14:

[tex]\rm \dfrac{14W}{14} =\dfrac{(25 \dfrac{1}{5})}{14}[/tex]

[tex]\rm W = \dfrac{(\dfrac{126}{5})}{14} \\\\= \dfrac{9}{5}[/tex]

[tex]\rm W = 1 \dfrac{4}{5}[/tex]

Now substituting the value of W, length can be calculated:

[tex]\rm L = \dfrac{4(1 \dfrac{4}{5})}{3}[/tex]

[tex]\rm L = \dfrac{(4)\dfrac{9}{5}}{3} \\\\= \dfrac{(\dfrac{36}{5})}{3} \\\\= \dfrac{12}{5}[/tex]

[tex]\rm L = 2 \dfrac{2}{5}[/tex]

Therefore, length is  [tex]\rm 2 \dfrac{2}{5} feet[/tex]  and width is [tex]\rm 1\dfrac{4}{5} feet[/tex].

To learn more about the perimeter of rectangle follow the link:

https://brainly.com/question/8966512


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign

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4th option is correct.

Answer:

{m| m < 2.5}

Step-by-step explanation:

m < 2 1/2,m < 2.5 , m ∑ [-∞, 5/2]

hope that helped!

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