Answer:
Length: 9 inches.
Width: 6 inches.
Step-by-step explanation:
Find the dimensions of the floor of the doll house.
Apply the formula:
[tex]A=lw[/tex]
Where A is the area, l is the lenght and w is the width.
You know that:
[tex]A=864\\w=\frac{2}{3}l[/tex]
Then you can solve for l:
[tex]864=l(\frac{2}{3}l)\\\\864=\frac{2}{3}l^2\\\\l=\sqrt{\frac{864*3}{2}}\\\\l=36in[/tex]
Then the width is:
[tex]w=\frac{2}{3}(36)=24in[/tex]
Therefore, the dimensions of the floor on the blueprint of the doll house are:
[tex]l'=\frac{1}{4}(36in)=9in\\\\w'=\frac{1}{4}(24in)=6in[/tex]
