Asculptor is designing her new triangular masterpiece. in her scale drawing, the shortest side of the triangular piece to be made measures 4 cm.  the longest side of the drawing measures 34 cm.  the longest side of the actual triangular piece to be sculpted must be 16.9 m long. how long will the shortest side of this piece be?

The shortest side will be 198.82 cm (1.98 m) long

Step-by-step explanation:

This problem can be solved using proportions.

First we have that:

Shortest side in scale drawing = 4 cm

Longest side in scale drawing = 34 cm

Shortest side in actual piece = x cm

Longest side in actual piece = 16.9 m, but we know that 1 meter = 100 cm, therefore 16.9 meters would be 16.9 x 100 = 1690 cms.

Now we write down the proportion and solve for x

Therefore, the shortest side of piece will be 198.82 cm. (or 1.98 meters long)