Answer:
On the blueprint the dimensions are 48 inches by 64 inches.
Step-by-step explanation:
Given:
The scale on blueprint was 1/4 inch = 1 foot.
The actual dimensions of her bedroom are 12 feet by 16 feet.
Now, to find the dimensions on the blueprint.
Let the dimensions on the blueprint be [tex]x[/tex] by [tex]y.[/tex]
As, given the scale on blueprint:
[tex]\frac{1}{4}\ inch=1\ foot[/tex]
So, [tex]\frac{1}{4}\ inch[/tex] is equivalent to 1 foot.
Thus, [tex]x[/tex] is equivalent to 12 feet.
And, [tex]y[/tex] is equivalent to 16 feet.
Now, solving by cross multiplication method:
[tex]\frac{\frac{1}{4}}{1} = \frac{x}{12}[/tex]
[tex]\frac{4}{1} =\frac{x}{12}[/tex]
By cross multiplying we get:
[tex]48=x[/tex]
[tex]x=48\ inches.[/tex]
Now, again:
[tex]\frac{\frac{1}{4}}{1} =\frac{y}{16}[/tex]
[tex]\frac{4}{1} =\frac{y}{16}[/tex]
By cross multiplying we get:
[tex]64=y[/tex]
[tex]y=64\ inches.[/tex]
Therefore, on the blueprint the dimensions are 48 inches by 64 inches.
