Ascale drawing of a rectangular park is 4 inches wide and 6 inches long. the actual park is 300 yards long. what is the area of the actual park, in square yards?

Explanation:

Given;

From the scale drawing, it is known that width and length are 4 inches and 6 inches for the reduced size of actual park.

Now, it's easier to find the ratio of the width and length of the original park.

(The unit variation of inch and yard doesn't matter, since we need only the ratio and not the original values).

That is, scaled width/ scaled length=4/6,

which reduces to the ratio of 2/3.

Take the unknown actual width as "X".

Actual width/Actual length=X/300

By comparing these two ratios, we could find the value of X.

2/3=X/300

By cross multiplication,

X=600/3

X=200 yards

Therefore, X is the actual width=200 yards and actual length=300 yards.

AREA OF THE ACTUAL PARK= actual width*actual length

                                                         =200 yards * 300 yards

that gives the area in square yards = 60000 sq. yards.