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A house plan is drawn to the scale of one-fourth inch equals 4 feet. What is the length of the house if it measures 3 and three-eighths inches on the floor plan?

User VladN
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1 Answer

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Final answer:

To find the actual length of the house, we need to use the scale ratio of the floor plan. In this case, the scale is 1/4 inch equals 4 feet. Using a proportion, we can find that the length of the house is 13.5 feet.

Step-by-step explanation:

To find the actual length of the house, we need to use the scale ratio of the floor plan. In this case, the scale is 1/4 inch equals 4 feet.

So, if the house measures 3 and three-eighths inches on the floor plan, we can set up a proportion to find the actual length:

1/4 inch / 4 feet = 3 and 3/8 inches / x feet

Cross multiplying, we get 1/4 * x = 4 * (27/8)

Simplifying, we find that x = 108/8 = 13.5 feet.

Therefore, the length of the house is 13.5 feet.

User Tech Xie
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