Question

1. josie is drawing a horse to scale. if the horse is 5 feet tall and 8 feet long, what are the dimensions (in inches) of a 1:20 scale drawing? will it fit on an 8.5 - inch × 11 - inch sheet of paper?

Explanation:

Step1: Convert feet to inches

Since \(1\) foot \( = 12\) inches, the actual height \(h_{actual}=5\times12 = 60\) inches and the actual length \(l_{actual}=8\times12=96\) inches.

Step2: Use the scale formula

The scale formula is \(d_{drawing}=\frac{d_{actual}}{n}\), where \(n = 20\).
For height: \(h_{drawing}=\frac{h_{actual}}{20}=\frac{60}{20}=3\) inches.
For length: \(l_{drawing}=\frac{l_{actual}}{20}=\frac{96}{20}=4.8\) inches.

Step3: Compare with paper size

The size of the drawing is \(3\) inches (height) \(\times4.8\) inches (length).
Since \(3<8.5\) and \(4.8 < 11\).

Answer:

The dimensions of the scale - drawing are \(3\) inches (height) and \(4.8\) inches (length). Yes, it will fit on an \(8.5\) - inch \(\times11\) - inch sheet of paper.