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The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation Find the length, in centimeters, if the width is 3.6 centimeters

Respuesta :

isabellacatherine99

Step-by-step explanation:

let the unknown be x

length = x

width = 3.6 cm

Perimeter = 2 lengths + 2 widths

48 cm = x + x + 3.6 + 3.6

48 cm = 2x + 7.2

40.8 = 2x

20.4 cm = x

if you wanna check,

perimeter = 20.4 + 20.4 + 3.6 + 3.6

48 cm = 48

akposevictor

Using the relationship between the dimension of a rectangle and its perimeter, given its perimeter and width, the length is: 20.4 cm.

Recall:

Perimeter of a rectangle (P) = 2(L + W) (relationship between the width, length and perimeter)

Given:

  • Width (W) = 3.6 cm
  • Perimeter (P) = 48 cm
  • Length (L) = ?

Using the relationship between the dimension of a rectangle and its perimeter, the following equation would be derived:

48 = 2(L + 3.6)

  • Solve for the value of L

48 = 2L + 7.2

  • Subtract 7.2 from each side

48 - 7.2 = 2L

40.8 = 2L

  • Divide both sides by 2

20.4 = L

L = 20.4 cm

Therefore, using the relationship between the dimension of a rectangle and its perimeter, given its perimeter and width, the length is: 20.4 cm.

Learn more here:

https://brainly.com/question/18869010

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