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 bathroom closet is 1.61 meters in the finished building, how wide (in centimeters) must it have been in the architects drawing? do not round your answer.

Explanation:

Step1: Set up the proportion

Let $x$ be the width of the closet on the drawing. The scale is $1$ cm on the drawing represents $0.7$ meters in real - life. We can set up the proportion $\frac{1}{0.7}=\frac{x}{1.61}$.

Step2: Cross - multiply

Cross - multiplying gives us $0.7x = 1\times1.61$.

Step3: Solve for $x$

Dividing both sides of the equation $0.7x = 1.61$ by $0.7$, we get $x=\frac{1.61}{0.7}$.
$x = 2.3$ cm.

Answer:

$2.3$