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4 years ago

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A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be m

ade 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?

1 answer:

Minchanka [31]4 years ago

7 0

Answer:

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

$\frac{4}{x}=\frac{34}{1690} \\x=\frac{4(1690)}{34} \\x=\frac{6760}{34}\\ x=198.82$

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

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kvasek [131]

Answer:

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Step-by-step explanation:

We are given below the SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school;

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