a scale drawing of Lafayette square is 8 inches long and 4 inches wide. The actual park is 160 feet wide. What is the actual area of the park, in square yards?

Respuesta :

Answer:

Lafayette Square is about 5688.89 square yards  

Step-by-step explanation:

The scale factor( ratio between the two sides) is 8 inches long to 4 inches wide or 2 to 1;  2 inches to one 1

Given the actual park is 160 feet wide ( need this measurement in inches).

so the actual part is 160 · 12 = 1920 inches wide.

Using the ratio long/ wide = long/ wide 2/1 = ?/1920.  The part is 3840 inches long.

Answer need to be in yards:  divide by 36 because 36 inches = 1 yard.

Long = 3840/36 = 320/3 yards

wide = 1920/36 = 160/3 yards

Actual area = L · W

                   = (320/3)·(160/3)

                   = 51200/9

                    = 5688.89 square yards