Question

An architect is recreating the blueprint for a deck with an existing scale factor of 1 in. equals 2 ft​, that is shown. The architect is using a different scale so that the length of the same deck on the new blueprint measures 8 inches. Complete parts a and b. What is the scale factor of the new blue print? 1 inch = ______feet.

Part 2: What is the width of the deck on the new​ blueprint?

Answer 1

Answer: Part A is 3 and part b is 5 1/3 inches

Step-by-step explanation:

Answer 2

Explanation:

Given

--- Initial scale factor

--- Missing from the question

Solving (a): The new scale factor.

Convert the initial blueprint to actual measurement using the initial scale factor, we have:

From the question, we understand the new scale factor represents the width as 8in.

The scale factor (k2) is then calculated as:

Simplify

Represent as fraction

The above is the new scale factor

Solving (b): The new width

Using the scale factor above we have:

The 16 is gotten from:

So, we have:

Hence, the scale width of the blueprint is: 16/3 inches