Question

Mr. Kendall will build a dollhouse bed as a scale model of an actual bed. The actualbed is 40 inches wide and 78 inches long. The width of the dollhouse bed willbe 12 inches. What length should the dollhouse bed have?QUEAА416 inchesB4 inchesQUESС217 inchesD2 inches

Answer 1

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:

`\begin{gathered} A\text{ = length }*\text{wid}th \\ A\text{ = 40 }*\text{ 78 = }3120in^2 \end{gathered}`

Area of doll house:

`\begin{gathered} A\text{ = l}* w=\text{ 12}* lengthin^2 \\ \text{Area of actual bed = area of doll house} \\ 3120\text{ = 12 }*\text{ length} \\ \text{length = 3120/12} \\ \text{length = 260 inches} \end{gathered}`

Therefore, the length of the doll house = 260 inches

None of the options posted have that answer, the options are disorganised.