Question

8.4.2 test (cst): geometric figures
use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
scale factor: 2:1
14 in
17 in
scale drawing
object
click here for long description
a. side a is 34 inches long and side b is 28 inches long.
b. side a is 15 inches long and side b is 12 inches long.
c. side a is 19 inches long and side b is 16 inches long.
d. side a is 8.5 inches long and side b is 7 inches long.

Explanation:

Step1: Understand the scale factor

The scale factor \(2:1\) means the scale drawing is larger than the real object. To find the real - object side lengths, divide the scale - drawing side lengths by the scale factor.

Step2: Calculate side \(a\)

The scale - drawing side length is \(17\) inches. Using the formula \(a=\frac{\text{Scale - drawing length}}{\text{Scale factor}}\), we have \(a = \frac{17}{2}=8.5\) inches.

Step3: Calculate side \(b\)

The scale - drawing side length is \(14\) inches. Using the formula \(b=\frac{\text{Scale - drawing length}}{\text{Scale factor}}\), we have \(b=\frac{14}{2} = 7\) inches.

Answer:

D. Side \(a\) is \(8.5\) inches long and side \(b\) is \(7\) inches long.