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Masha is making a scale diagram of the front face of an aquarium. The face is shaped like a rectangle.
She uses a scale of 1 centimeter to 6 inches to draw the diagram. The actual length of the aquarium face is 5 feet, and its width is 2 feet. The perimeter of the scale drawing of the front face is___ centimeters.

Respuesta :

Scale:
1 cm : 6 inches

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Length of the aquarium:
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5 feet = 5 x 12 = 60 inches
60 ÷ 6 = 10 
The length will be 10 cm on the scale drawing.

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Width of the aquarium:
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2 feet = 2 x 12 = 24 inches
24 ÷ 6 = 4 

The width will be 4 cm on the scale drawing.

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Find Perimeter:
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Perimeter = 2 (length + width)
Perimeter = 2( 10 + 4 )
Perimeter = 28 cm

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Answer:  The perimeter of the scale drawing of the front face is 28 cm.--------------------------------------------------------------------------------------------------

Lanuel

The perimeter of the scale drawing of the front face is 28 centimeters.

Given the following data:

  • Scale factor = 1 cm : 2 in.
  • Actual length of aquarium face = 5 feet.
  • Actual width of aquarium face = 5 feet.

To calculate the perimeter of the scale drawing of the front face:

First of all, we would determine the new dimensions (length and width) of the rectangular aquarium after it is enlarged.

Note: 1 feet = 12 inches.

For the length:

[tex]New \;length = 12 \times 5[/tex]

New length = 60 inches.

In centimeters, we have:

New length = [tex]\frac{60}{6}[/tex] = 10 cm.

For the width:

[tex]New \;width = 12 \times 2[/tex]

New width = 24 inches.

In centimeters, we have:

New length = [tex]\frac{24}{6}[/tex] = 4 cm.

Formula for the perimeter of a rectangle.

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P=2(L+W)[/tex]

Where:

  • P is the perimeter of a rectangle.
  • L is the length of a rectangle.
  • W is the width of a rectangle.

Substituting the parameters into the formula, we have;

[tex]P=2(10+4)\\\\P=2(14)[/tex]

P = 28 centimeters.

Read more on perimeter of a rectangle here: https://brainly.com/question/17297081

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