Question

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 9cm The longest side of the drawing measures 37cm The longest side of the actual triangular piece to be sculpted must be 16.3m long. How long will the shortest side of this piece​ be?

Answer 1

396.5cm or 3.965m

Explanation:

A sculptor is designing her new triangular masterpiece. In her scale​ drawing,

Scale Drawing

The shortest side = 9cm

The longest side = 37cm

Actual Drawing

The longest side of the actual triangular piece= 16.3m long.

We convert from meter to cm

1m = 100cm

16.3m =

Cross Multiply

= 16.3 m × 100cm/m

= 1630cm

How long will the shortest side of this piece​ be?

Let the shortest side be represented by x

9/37 = x/1630

Cross Multiply

37x = 9 × 1630

x = 9 × 1630/37

x = 396.48648649cm

≈ 396.5cm

Or converting to meter

= 396.5cm/100

= 3.965m