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The drawing of a building, shown below, has a scale of 2 inches to 8.5 feet.

What is the actual height, in feet, of the house?

The drawing of a building, shown below, has a scale of 2 inches to 8.5 feet. What-example-1

2 Answers

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Answer:

36 1/8 feet

Explanation:

x = height of house in feet

2"/8.5' = 8/5"/x

cross-multiply:

2x = 72.25

x = 36.125 or 36 1/8

User Fadecomic
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2 votes

The actual height, in feet, of the house is determined as 36.125 feet.

How to calculate the actual height of the house?

The actual height, in feet, of the house is calculated by applying the following formula as shown below;

The height of the building shown in the diagram;

= 8.5 inches

The scale of the house drawing is given as;

= 2 inches to 8.5 feet

The actual height, in feet, of the house is calculated as follows;

actual height = scale of drawing x height of house in drawing

actual height = (8.5 feet ) / (2 inches) x 8.5 inches

actual height = (8.5 feet x 8.5 ) / 2

actual height = 36.125 feet

So the actual height, in feet, of the house is 36.125 ft.

User Cadizm
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