Question

problem 4. here is part of a scale drawing of zahras office. the scale is 6 centimeters to 1.5 feet. fabianas office is near zahras office and measures 4 centimeters by 8 centimeters in the scale drawing. is fabianas office twice the area of zahras office? yes no explain your thinking.

Explanation:

Step1: Find area of Zahra's office in scale - drawing

The area formula for a rectangle is $A = l\times w$. For Zahra's office in the scale - drawing, $l = 4$ cm and $w = 2$ cm. So $A_{Zahra - scale}=4\times2 = 8$ $cm^{2}$.

Step2: Find area of Fabiana's office in scale - drawing

Fabiana's office in the scale - drawing has length $l = 8$ cm and width $w = 4$ cm. Using the area formula $A = l\times w$, we get $A_{Fabiana - scale}=8\times4 = 32$ $cm^{2}$.

Step3: Compare the areas

To find out how many times the area of Fabiana's office is of Zahra's office in the scale - drawing, we calculate the ratio $\frac{A_{Fabiana - scale}}{A_{Zahra - scale}}=\frac{32}{8}=4$.

Answer:

No