Answer:
[tex]l=14\,ft\,\,\,\,w=10\,ft\\\\Area\,\,of\,\,actual\,\,studio=140\,ft^2\\\\[/tex]
Step-by-step explanation:
As we know 1 ft has 12 inches.
[tex]scale\,\,in\,\,the\,\,plan=\frac{5\,ft}{4\, in}\\[/tex]
We can find the length and width of studio by multiplying rectangle parameters with scale.
[tex]l=11.2\,in\times \frac{5\,ft}{4\,in}\\\\l=14\,ft\\\\w=8\,in \times \frac{5\,ft}{4\,in}\\ \\w=10 \,ft\\\\Area\,\,of\,\,actual\,\,studio=14\times 10=140\,ft^2\\[/tex]