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The scale drawing of a porch is 8 inches wide by 12 inches long. If the actual porch is 12 feet wide, what is the length of the porch?

Sagot :

Answer:

The actual length of the porch is 18 feet.

Explanation:

Scale = [tex]\frac{length on drawing}{actual length}[/tex]

So that considering the width of the drawing and actual porch,

1 foot = 12 inches

12 feet = 12 x 12 inches

           = 144 inches

scale = [tex]\frac{8}{144}[/tex]

         = [tex]\frac{1}{18}[/tex]

Given that the length of the porch drawn is 12 inches, let the actual length of the porch be represented by x. Then the actual length can be determined by;

scale = [tex]\frac{length on drawing}{actual length}[/tex]

[tex]\frac{1}{18}[/tex] = [tex]\frac{12}{x}[/tex]

x = 12 x 18

  = 216

x = 216 inches

But,

1 foot = 12 inches

216 inches = 18 feet

The actual length of the porch is 18 feet.

Answer:

18ft

Explanation: