Question

1. a scale drawing of a rectangular park is 5 inches wide and 7 inches long. the actual park is 280 yards long. what is the area of the actual park, in square yards? a. 35 b. 200 c. 1,400 d. 56,000

Explanation:

Step1: Find the scale factor

The scale drawing has a length of \(7\) inches and the actual length is \(280\) yards.
Let the scale factor be \(k\). Then \(k=\frac{280}{7} = 40\) (yards per inch).

Step2: Find the actual width

The scale - drawing width is \(5\) inches. Using the scale factor \(k = 40\), the actual width \(w=5\times40=200\) yards.

Step3: Calculate the area of the actual park

The area of a rectangle \(A = l\times w\). Given \(l = 280\) yards and \(w = 200\) yards.
\(A=280\times200=56000\) square yards.

Answer:

D. \(56,000\)