Question

an architect used a scale of 2 inches=35 feet to design a dog park. the actual dog park is designed to be 75 feet long. what is the length of the dog park in the blue print?​

Answer 1

approximately 4.2857 inches or 4.3 inches

Explanation:

In order to find the length of the dog park in the blueprint, we can use the given scale, which is 2 inches = 35 feet.

First, calculate how many times the scale factor of 2 inches represents 35 feet:

`\textsf{Scale factor}\sf = \frac{\textsf{Length in blueprint }}{\textsf{ Length in actual size}}`

2 inches = 35 feet

Now, we want to find the length in the blueprint, so let's solve for that:

`\textsf{Length in blueprint = $\sf (2 inches )/( 35 feet) * $ Length in actual size}`

`\textsf{ Length in blueprint}\sf = (2 inches )/( 35 feet) * 75 feet`

Now, calculate this:

`\textsf{Length in blueprint} \sf \approx 4.2857 inches`

So, the length of the dog park in the blueprint is approximately 4.2857 inches or 4.3 inches or 4.28 inches .