Question

the steel beams in one part of o building will be 65 feet long on the blueprint the archeigt draws the beams 13 inches long for another part the archect draws 8 inch beams if the beams are drawn to same scale what will be the actual lenght of 8 inch beams

Answer 1

To find the actual length of the 8-inch beams based on the provided information, we first need to determine the scale used in the blueprint.

We know that:
- The length of the actual steel beam represented by the 13-inch drawing is 65 feet.

1. **Calculate the scale:**

Since the 13-inch beam represents 65 feet, we can find the scale factor by converting 65 feet into inches (since 1 foot = 12 inches):
\[
65 \text{ feet} = 65 \times 12 = 780 \text{ inches}
\]

Now, we can find the scale:
\[
\text{Scale} = \frac{\text{Actual length}}{\text{Drawn length}} = \frac{780 \text{ inches}}{13 \text{ inches}} = 60
\]

This means that 1 inch on the blueprint represents 60 inches in real life.

2. **Calculate the actual length of the 8-inch beams:**

Using the same scale, we can find the actual length of the 8-inch beams:
\[
\text{Actual length} = \text{Drawn length} \times \text{Scale} = 8 \text{ inches} \times 60 = 480 \text{ inches}
\]

Now, convert 480 inches back to feet:
\[
480 \text{ inches} = \frac{480}{12} \text{ feet} = 40 \text{ feet}
\]

So, the actual length of the 8-inch beams is **40 feet**.