We are given
rectangle
length is 6 inches
so, [tex] L=6inch [/tex]
width is 4 inches
so, [tex] W=4inch [/tex]
now, we can find area
[tex] Area=length*width [/tex]
[tex] Area=L*W [/tex]
now, we can plug values
[tex] Area=6*4 in^2 [/tex]
[tex] Area=24 in^2 [/tex]
now, we are given scale
[tex] \frac{1}{4} in=2ft [/tex]
we can take square both sides
[tex] \frac{1}{4^2} in^2=2^2 ft^2 [/tex]
[tex] \frac{1}{16} in^2=4 ft^2 [/tex]
now, we can find 1 in^2
[tex] 1 in^2=16*4 ft^2 [/tex]
now, we can multiply both sides by 24
[tex] 24*1 in^2=24*16*4 ft^2 [/tex]
[tex] 24 in^2=1536 ft^2 [/tex]
so,
Area of rectangle is 1536 feet^2..........Answer
