Question

question 10 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 perimeter of the actual park in yards? a 24 b 200 c 860 d 84,000

Explanation:

Step1: Find the scale - factor

The length of the park in the scale - drawing is 7 inches and the actual length is 280 yards. The scale - factor $k$ is found by dividing the actual length by the length in the scale - drawing. Since we are working with the same units for the ratio calculation, we have $k=\frac{280}{7}=40$.

Step2: Find the actual width

The width of the park in the scale - drawing is 5 inches. Using the scale - factor $k = 40$, the actual width $w$ of the park is $w=5\times40 = 200$ yards.

Step3: Calculate the perimeter of the actual park

The formula for the perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Substituting $l = 280$ yards and $w = 200$ yards, we get $P=2(280 + 200)=2\times480=960$ yards.

Answer:

960