Given:
A scale drawing of a rectangular park is 5 inches wide and 7 inches long.
The actual park is 280 yards long.
To find:
The area of the actual park.
Solution:
Length of drawing = 7 inches
Length of actual park = 280 yards
The scale factor is
7 inches : 280 yards
1 inches : 40 yards
The width of the drawing is 5 inches. So, the width of actual part is
[tex]40\times 5=200 yards[/tex]
The area of the actual park is
[tex]Area=Length \times width[/tex]
[tex]Area=280\times 200[/tex]
[tex]Area=56000[/tex]
Therefore, the area of the actual park is 56000 sq. yards.