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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, find the length of the porch. (Draw and label polygons then solve.)

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JeanaShupp

Answer: The length of porch is 18 feet.

Step-by-step explanation:

Given: The scale drawing of a porch is 8 inches wide by 12 inches long.

The actual porch is 12 feet wide.

Actual porch and the drawing are similar, then

[tex]\dfrac{\text{Actual length}}{\text{Actual width}}=\dfrac{\text{ length in drawing}}{\text{Width in drawing}}[/tex]

[tex]\Rightarrow\ \dfrac{\text{Actual length}}{12}=\dfrac{12}{8}\\\\\Rightarrow\ \text{Actual length}= \dfrac{12}{8}\times12\\\\\Rightarrow\ \text{Actual length}= 18[/tex]

Hence, the length of porch is 18 feet.

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akposevictor

Given that the corresponding sides of similar shapes are proportional, the length of the porch would be calculated as: 18 inches.

What are Similar Shapes?

Shapes that are similar have corresponding sides that are proportional to each other.

Thus:

  • Length of scale drawing = 12 inches
  • Actual length of porch = x
  • Width of scale drawing = 8 inches
  • Actual width of porch = 12 ft

Therefore:

x/12 = 12/8

Cross multiply

8x = (12)(12)

x = 18 inches.

Therefore, given that the corresponding sides of similar shapes are proportional, the length of the porch would be calculated as: 18 inches.

Learn more about similar shapes on:

https://brainly.com/question/11899908

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