To find the area of the lot the developer buys to build a small house, we examine the provided multiple-choice options and determine which value is correct.
Given the available choices:
A. [tex]\( 171 \, \text{yd}^2 \)[/tex]
B. [tex]\( 323 \, \text{yd}^2 \)[/tex]
C. [tex]\( 193 \, \text{yd}^2 \)[/tex]
D. [tex]\( 183 \, \text{yd}^2 \)[/tex]
The correct answer for the area of the empty lot is:
[tex]\[ 171 \, \text{yd}^2 \][/tex]
Therefore, the area of the lot is [tex]\( 171 \, \text{yd}^2 \)[/tex], making option A the correct choice.