Questions: A building that is 76 ft long would be shown as what length on the blueprint if the scale is 1/2 in = 1 ft? The length of the building drawn on the blueprint is in.

A building that is 76 ft long would be shown as what length on the blueprint if the scale is 1/2 in = 1 ft?

The length of the building drawn on the blueprint is in.

Transcript text: Section 8.3 Question 9, 8.3.32 HW Score: $50 \%, 8$ of 16 points Points: 0 of 1 Save A building that is 76 ft long would be shown as what length on a blueprint if the scale is $\frac{1}{2}$ in $=1 \mathrm{ft}$ ? The length of the building drawn on the blueprint is $\square$ in.

Solution

Solution Steps

To find the length of the building on the blueprint, we need to use the given scale. The scale tells us that 1 foot in real life is represented by 0.5 inches on the blueprint. Therefore, we can multiply the actual length of the building by the scale factor to get the length on the blueprint.

Step 1: Determine the Scale

The scale provided is $ \frac{1}{2} $ in $ = 1 $ ft. This means that for every 1 foot of actual length, it is represented as $ \frac{1}{2} $ inch on the blueprint.

Step 2: Calculate the Length on the Blueprint

To find the length of the building on the blueprint, we multiply the actual length of the building by the scale factor: \[ \text{Blueprint Length (in)} = \text{Actual Length (ft)} \times \text{Scale Factor} \] Substituting the values: \[ \text{Blueprint Length (in)} = 76 \, \text{ft} \times \frac{1}{2} \, \text{in/ft} = 38 \, \text{in} \]