Respuesta :
Answer:
The side lengths of the dollhouse bed are [tex]\frac{20}{3}[/tex] inches and 5 inches.
Step-by-step explanation:
Given:
A dollhouse has a bed with 1/12 the size of a queen size bed. A queen size bed has an area of 4800 square inches,and a length of 80 inches.
Now, to find the side lengths of the dollhouse bed.
Area of queen size bed = 4800 square inches.
Length of queen size = 80 inches.
Let the width be [tex]x.[/tex]
So, to get the width we put formula of area:
[tex]Area =length\times width[/tex]
[tex]4800=80\times x[/tex]
Dividing both sides by 8 we get:
[tex]60=x[/tex]
[tex]x=60\ inches.[/tex]
The width of queen size bed = 60 inches.
Now, to get the side lengths of the dollhouse bed:
Length of dollhouse bed:
[tex]\frac{1}{12} \ of\ 80\\\\=\frac{1}{12}\times 80\\\\ =\frac{80}{12} \\\\=\frac{20}{3} \ inches.[/tex]
Width of dollhouse bed:
[tex]\frac{1}{12} \ of\ 60\\\\=\frac{1}{12} \times 60\\\\=\frac{60}{12}\\\\=5\ inches.[/tex]
Therefore, the side lengths of the dollhouse bed are [tex]\frac{20}{3}[/tex] inches and 5 inches.
