Question

problem 3
a scale drawing of a rectangular park is 5 inches wide and 7 inches long.
the actual park is 280 yards long. what is its area?
use paper if it helps with your thinking.
1400 square yards
35 square yards
56000 square yards
200 square yards

Explanation:

Step1: Find the scale factor

The scale - drawing length is 7 inches and the actual length is 280 yards. Let the scale factor be $k$. We know that $\frac{\text{actual length}}{\text{scale - drawing length}}=k$. So $k=\frac{280}{7}=40$ (yards per inch).

Step2: Find the actual width

The scale - drawing width is 5 inches. Using the scale factor, the actual width $w$ of the park is $w = 5\times40=200$ yards.

Step3: Calculate the area of the park

The area $A$ of a rectangle is $A = l\times w$, where $l = 280$ yards and $w = 200$ yards. So $A=280\times200 = 56000$ square yards.

Answer:

56000 square yards