Answer:
[tex]3,528\ ft^2[/tex]
Step-by-step explanation:
step 1
Find the scale drawing
The scale drawing is the ratio between corresponding measures
we know that
The longer side of the actual mat is 63 ft
The longer side of the scale drawing mat is 9 in
so
The scale drawing is
[tex]\frac{9}{63}\ \frac{in}{ft}[/tex]
Simplify
[tex]\frac{1}{7}\ \frac{in}{ft}[/tex]
That means
1 inch in the scale drawing represent 7 feet in the actual
step 2
Find how many feet represent 8 inches
Multiply by 7
[tex]8\ in=8(7)=56\ ft[/tex]
step 3
Find the area of the actual mat
The dimensions are 56 ft x 63 ft
so
The area is
[tex]A=(56)(63)=3,528\ ft^2[/tex]