Question

Paw created a scaled copy of Triangle A using a scale factor of 3. If triangle A has an area of 4.5 units (A=1/2 b*h). What would the area be of the new scaled triangle?

a) 1.5 units
b) 4.5 units
c) 13.5 units
d) 45.0 units

Answer 1

The area of the new scaled triangle created by Paw using a scale factor of 3 is 40.5 units, which corresponds to answer choice (d) 45.0 units, assuming there was a typo in the options provided.

Step-by-step explanation:

Paw created a scaled copy of Triangle A using a scale factor of 3. Triangle A has an area of 4.5 units (A=1/2 b*h). To find the area of the scaled triangle, we need to use the fact that when a triangle is scaled by a factor of scale factor, the area is scaled by the square of that factor. Therefore, the new area will be 4.5 units × 3².

The calculation will be as follows:

• Scale factor squared is 3² = 9.
• New area = Original area × Scale factor squared = 4.5 units × 9.
• New area = 40.5 units.

Therefore, the area of the new scaled triangle will be 40.5 units, which means the correct answer is (d) 45.0 units, assuming the question meant to write '40.5' instead of '45.0' as an option, which seems to be a typo.