Question

here is part of a scale drawing of zahras office. the scale is 6 centimeters to 15 feet. what are the dimensions of the actual office? length (ft) width (ft) what is the actual area of the office? problems 1 - 2

Explanation:

Step1: Find the actual - length

The scale is 6 cm to 15 feet. For the length of 4 cm on the drawing, set up a proportion. Let the actual length be $l$. Then $\frac{6}{15}=\frac{4}{l}$. Cross - multiply: $6l = 4\times15$, so $l=\frac{4\times15}{6}=10$ feet.

Step2: Find the actual - width

For the width of 2 cm on the drawing, let the actual width be $w$. Set up the proportion $\frac{6}{15}=\frac{2}{w}$. Cross - multiply: $6w=2\times15$, so $w = \frac{2\times15}{6}=5$ feet.

Step3: Calculate the actual area

The area of a rectangle is $A = l\times w$. Substitute $l = 10$ feet and $w = 5$ feet. So $A=10\times5 = 50$ square feet.

Answer:

Length (ft): 10
Width (ft): 5
Actual area of the office: 50 square feet