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? hint: step 1: find your scale factor by dividing 280 by 7. step 2: find the width of the park by multiplying 5 by your scale factor step 3: find the perimeter by adding up all the sides of the actual park.

Explanation:

Step1: Calculate scale - factor

The scale - factor $k$ is found by dividing the actual length of the park by the length in the scale - drawing. Given the actual length is 280 yards and the length in the scale - drawing is 7 inches. So, $k=\frac{280}{7}=40$.

Step2: Find the actual width

The width in the scale - drawing is 5 inches. Multiply the width in the scale - drawing by the scale - factor to get the actual width. The actual width $w = 5\times40=200$ yards.

Step3: Calculate the perimeter

The park is rectangular. The perimeter $P$ of a rectangle is given by $P = 2(l + w)$, where $l = 280$ yards and $w = 200$ yards. So, $P=2(280 + 200)=2\times480 = 960$ yards.

Answer:

960