Question

what is the area of the real object that the scale drawing models?
scale factor: 1:8
area =
2 square cm
scale drawing
object
a. 256 square cm
b. 16 square cm
c. 128 square cm
d. 2 square cm

Explanation:

Step1: Calculate the area scale factor

The scale factor for lengths is \(1:8\). The area scale factor is the square of the length scale factor. So, the area scale factor \(k = 8^{2}=64\).

Step2: Find the area of the real - object

Let \(A_{1}\) be the area of the scale - drawing (\(A_{1} = 2\space cm^{2}\)) and \(A_{2}\) be the area of the real - object. We know that \(A_{2}=A_{1}\times k\). Substitute \(A_{1}=2\) and \(k = 64\) into the formula: \(A_{2}=2\times64\).

Answer:

C. 128 square cm