Question

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 area of the enlargement will be
inches2, which is
times the size of the original scale drawing.

Answer 1

I can't see the scale drawing you mention. To finish the numeric answer I need either (a) the height of the drawing in grid units (how many grid squares tall it is) or (b) the original drawing (or its original height in inches) and its original area.

How to compute the answer once you have that:
- Each grid unit = 3 in, so if the drawing is h grid units tall its original height = 3h inches.
- Linear scale factor to the enlargement = 105 ÷ (3h) = 35/h.
- Area scale factor = (35/h)^2.
- If the original drawing covers N unit squares, the original area = 9N in^2 (because each unit square is 3×3 = 9 in^2).
- Enlargement area = original area × (35/h)^2 = 9N × (35/h)^2 in^2.

Give me h (and optionally N or the original area) or upload the drawing and I will compute the two missing numbers for you.