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Problem of the Week
Problem B
It's All Relative

Jacob has a picture on his wall of an enderman Minecraft\(^{\text{TM}}\) character and another of the Loch Ness Monster. The dimensions of each are shown below. He wants to make a smaller scale drawing of each of them.

The picture of the enderman. The enderman is 90 cm tall and 24 cm wide.      The picture of the Loch Ness Monster. The monster is 60 cm tall and 54 cm wide.

Jacob uses a scale of \(1:6\) to draw his enderman. He uses a different scale to draw the Loch Ness Monster so that it is twice as tall as his drawing of the enderman.

  1. How tall is Jacob’s drawing of the enderman?

  2. What scale did Jacob use to draw the Loch Ness Monster?

  3. How wide is Jacob’s drawing of the Loch Ness Monster?