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A town is designing a rectangular park that will be 600 feet by 1000 feet. A rectangular area of the park for swing sets will be 25 feet by 100 feet. On a scale drawing of the park, the swing set area is 0.5 inch by 2 inches. What are the dimensions of the park on the scale drawing?.

Verified Answer :

MissPhiladelphia

For the answer to the question above, what are the dimensions of the park on the scale drawing?
If you divide 25 by 50 you get .5 and if you divide 100 by 50 you get 2. So I would divide 600 by 50 = 12 inches and 1000 by 50 = 500 inches. So the answer is 12 x 20 inches

MrRoyal

The dimensions of the park on the scale drawing are 12 inches by 20 inches

The actual dimensions are given as:

  1. Park = 600 feet by 1000 feet
  2. Swing set = 25 feet by 100 feet

The dimension of the swing set on the scale drawing is given as: 0.5 inch by 2 inches

The above means that, the scale factor (k) is:

\(k =\frac{0.5}{25}\ or\ k =\frac{2}{100}\) --- i.e. divide the scale measurement by the actual measurement

Evaluate both equations

\(k =\frac{1}{50}\ or\ k =\frac{1}{50}\)

So, we have:

\(k =\frac{1}{50}\)

Multiply the scale factor by the dimensions of the park, to get the scale measurement

\(600 * \frac{1}{50} =12\)

\(1000 * \frac{1}{50} =20\)

Hence, the dimensions of the park on the scale drawing are 12 inches by 20 inches

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