Question

problem 3 here is part of a scale drawing of zahras office. the scale is 6 centimeters to 15 feet. zahra wants to put in a couch that is 3 feet wide. how wide would the couch be if it were drawn on the scale drawing?

Explanation:

Step1: Set up the proportion

Let $x$ be the width of the couch on the scale - drawing. The scale is 6 cm to 15 feet. We can set up the proportion $\frac{6}{15}=\frac{x}{3}$.

Step2: Cross - multiply

Cross - multiplying gives us $15x = 6\times3$.

Step3: Simplify the right - hand side

$6\times3 = 18$, so the equation becomes $15x=18$.

Step4: Solve for $x$

Dividing both sides of the equation by 15, we get $x=\frac{18}{15}=\frac{6}{5}=1.2$ cm.

Answer:

$1.2$ cm