The length of the doll house= 260 inches
Actual bed dimensions:
Width = 40 inches
length = 78 inches
Doll house dimensions:
width = 12 inches
length = is inknown
Since the Mr. Kendell dollhouse bed as a scale model of an actual bed, the area of the actual bed will be equal to the area of the doll house.
Area of actual bed:
[tex]\begin{gathered} A\text{ = length }\times\text{wid}th \\ A\text{ = 40 }\times\text{ 78 = }3120in^2 \end{gathered}[/tex]
Area of doll house:
[tex]\begin{gathered} A\text{ = l}\times w=\text{ 12}\times lengthin^2 \\ \text{Area of actual bed = area of doll house} \\ 3120\text{ = 12 }\times\text{ length} \\ \text{length = 3120/12} \\ \text{length = 260 inches} \end{gathered}[/tex]
Therefore, the length of the doll house = 260 inches
None of the options posted have that answer, the options are disorganised.