An architect creates a scale drawing of a building where 2 inches represents 30 feet. How many inches will he need to use on his scale drawing to represent a hallway that is 79 feet long

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A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original. The length of the hallway on the scale drawing is 5.2667 inches.

What is the scale ratio?

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

Given that 2 inches on the scale drawing represent 30 feet in real. Therefore, the scale factor for the given drawing can be written as,

Scale ratio = Length on drawing / Length in real

Scale ratio = 2 inches/30 feet

Now, the length of the hallway on the drawing will be equal to,

Scale ratio = 2 inches/30 feet

Length on drawing / Length in real = 2 inches/30 feet

x inches / 79 feet = 2 inches/30 feet

x = (2 inches × 79 feet) / 30 feet

x = 5.2667 inches

Hence, the length of the hallway on the scale drawing is 5.2667 inches.

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