Question

A scale drawing of a rectangular park is 5 inches wide and 7 inches ong. The actal prake is 280 yards long. What is the area of the actual park, in square yards?

Answer 1

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

$40\times 5=200 yards$

The area of the actual park is

$Area=Length \times width$

$Area=280\times 200$

$Area=56000$

Therefore, the area of the actual park is 56000 sq. yards.