Answer:
[tex]112.5ft^2[/tex]
Step-by-step explanation:
We are given that A scale model of a rectangular patio is 6 feet long and 3 feet wide.
So, Scale of length to width = 6:3
Let the ratio be x
So, Length = 6x
Breadth = 3x
Now we are given that the actual length is 15 feet
So,[tex]6x= 15[/tex]
[tex]x= \frac{15}{6}[/tex]
[tex]x= 2.5[/tex]
So, Actual width = [tex]3 \times 2.5 = 7.5 feet[/tex]
Area of the actual patio = [tex]Length \times Width[/tex]
= [tex]15 \times 7.5[/tex]
= [tex]112.5ft^2[/tex]
Hence the area of the actual patio is [tex]112.5ft^2[/tex]
