05.01)A scale drawing of a bathroom is shown below:

A rectangle is shown. The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 3.5 inches. The scale is 1 to 20.

What is the area of the actual bathroom in square feet? Round your answer to the nearest whole number.

7 ft2
19 ft2
12 ft2
140 ft2

Respuesta :

The scale of 1 to 20 , means for every 1 inch on the drawing the actual size would be 20 inches.


The length is labeled 2 inches, so the actual length would be 2 *20 = 40 inches.


The width is labeled as 3.5 inches, the actual length would be 3.5 x 20 = 70 inches.


Now convert the inches to feet by dividing each length by 12:


40 inches / 12 = 3.33 feet.

70 inches / 12 = 5.83 feet.


Multiply them together for total area:

3.33 x 5.83 = 19.4 feet^2

Rounded to the nearest whole number = 19ft^2

The area of the actual bathroom in square feet is [tex]19 ft^2[/tex]

  • The calculation is as follows;

The scale of 1 to 20 reprsent that for every 1 inch on the drawing the actual size  should be 20 inches.

The length is labeled 2 inches,

so the actual length  is

= 2 (20)

= 40 inches.

Now

The width is labeled as 3.5 inches,

So, the actual length

= 3.5 (20)

= 70 inches.

Now convert the inches to feet by dividing each length by 12:

[tex]= 40\ inches \div 12 = 3.33 feet\\\\= 70\ inches \div 12 = 5.83 feet\\\\[/tex]  

Now Multiply them together for total area:

= 3.33 (5.83)

[tex]= 19.4 feet^2[/tex]

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