the high school debate team is developing a logo to represent their club. A scale drawing of the logo design is presented below, where each unit of the grid represents 3 inches in length. The team is printing out an enlargement of the new logo, where the enlargement has a height of 105 inches. The are of the enlargement will be how many inches, which is how many times the size of the original scale drawing.

Question

28-12-2020
Mathematics

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the high school debate team is developing a logo to represent their club. A scale drawing of the logo design is presented below, where each unit of the grid represents 3 inches in length. The team is printing out an enlargement of the new logo, where the enlargement has a height of 105 inches. The are of the enlargement will be how many inches, which is how many times the size of the original scale drawing.

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AbsorbingMan AbsorbingMan · Answer 1 · 2020-12-29T04:03:51+01:00

Answer:

The enlargement will be 25 times and the enlargement area will be [tex]$2250 \text{ inches}^2$[/tex].

Step-by-step explanation:

It is given that each grid unit is equal to 3 inches. SO we have to use this scale.

The total height of the scale drawing is 21 inch and the enlargement has a height given as 105 inches. Therefore it has scale factor of 5. It means that each dimension is enlarged by 5 times the dimension in the scale drawing. So the enlargement of the logo will be 25 times and the enlargement area will be 2250 square inches.