Question

architects use scales in their drawings to be sure the proportions of the building are correct when it is built. for one project, the architect uses a scale such that 1 cm on the drawing is equivalent to 0.7 meters in the finished building. if a kitchen on the architects drawing is 6.8 cm long, how long (in meters) will the kitchen be in the finished building? do not round your answer.

Explanation:

Step1: Identify the scale - factor

The scale is 1 cm on the drawing represents 0.7 meters in real - life.

Step2: Set up a proportion

Let $x$ be the length of the kitchen in the finished building. We have the proportion $\frac{1}{0.7}=\frac{6.8}{x}$.

Step3: Cross - multiply

Cross - multiplying gives us $1\times x = 0.7\times6.8$.

Step4: Calculate the value of $x$

$x=0.7\times6.8 = 4.76$ meters.

Answer:

4.76 meters