Question

the scale factor of a model of a building to the actual building is 8.4. the incomplete table shows the comparison of the actual buildings side lengths to the models side lengths. complete the table. sides of the building side 1 side 2 side 3 side 4 scale model measurement (in inches) 1 3/5 2? 1 1/2 actual measurement (in feet)

Explanation:

Step1: Recall scale - factor formula

The scale - factor formula is $\text{Scale Factor}=\frac{\text{Actual Measurement}}{\text{Model Measurement}}$. We know the scale factor is 8.4.

Step2: Calculate actual measurement for Side 1

If the model measurement of Side 1 is 1.5 inches, then the actual measurement $A_1$ is $A_1 = 8.4\times1.5=12.6$ feet.

Step3: Calculate actual measurement for Side 3

If the model measurement of Side 3 is 1.9 inches, then the actual measurement $A_3$ is $A_3 = 8.4\times1.9 = 15.96$ feet.

Step4: Calculate model measurement for Side 2

Let the model measurement of Side 2 be $m_2$. If the actual measurement of Side 2 is 16.8 feet, then $m_2=\frac{16.8}{8.4}=2$ inches.

Step5: Calculate model measurement for Side 4

Let the model measurement of Side 4 be $m_4$. If the actual measurement of Side 4 is 21 feet, then $m_4=\frac{21}{8.4}=2.5$ inches.

Scale Model Measurement (in inches)	Actual Measurement (in feet)	Sides of the Building
2	16.8	Side 2
1.9	15.96	Side 3
2.5	21	Side 4

Answer:

Scale Model Measurement (in inches)	Actual Measurement (in feet)	Sides of the Building
2	16.8	Side 2
1.9	15.96	Side 3
2.5	21	Side 4