Question

lesson practice 7.1.07 name: bietsueydc ruede date: period: problems 1 - 4: here is part of a scale drawing of zahras office. the scale is 6 centimeters to 15 feet. 1. what are the dimensions of the actual office? 2. what is the actual area of her office? 3. zahra wants to put a couch in her office that is 3 feet wide. how wide would the couch

Explanation:

Step1: Find the conversion factor

The scale is 6 cm to 15 feet. So the conversion factor is $\frac{15}{6}=\frac{5}{2}$ feet per centimeter.

Step2: Find the actual length

The length on the drawing is 4 cm. The actual length $L = 4\times\frac{5}{2}=10$ feet.

Step3: Find the actual width

The width on the drawing is 2 cm. The actual width $W=2\times\frac{5}{2} = 5$ feet.

Step4: Calculate the actual area

The area of a rectangle is $A = L\times W$. Substituting the values of $L = 10$ feet and $W = 5$ feet, we get $A=10\times5 = 50$ square - feet.

Answer:

1. The dimensions of the actual office are 10 feet by 5 feet.
2. The actual area of her office is 50 square - feet.