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Mayra created a scaled copy of Figure C using a scale factor of 2. They said, "Figure C has an area of 28 square units, so the scaled copy must have an area of 56 unit square units." Convince Mayra that the area of the scaled copy is not 56 square units.

Respuesta :

The scale factor of a drawing is the measurement of the new representation of an object divided by the corresponding measurement of the original object

The known information are;

The scale factor of the scaled copy Mayra created = 2

The area of Figure C = 28 square units

Mayra suggests that the area of the scaled copy of Figure C = 28 square units

Required:

Convince Mayra that the area of the scaled copy is not 56 square units

Solution:

The relationship between the scale factor of area, SFA, and the scale factor of length, LSF, is given as follows;

Area Scale Factor = (Linear Scale Factor)²

SFA = LSF²

Whereby the linear scale factor, LSF = 2, we have;

Area Scale Factor, SFA = 2² = 4

The area of the scaled copy = Area of Figure C × SFA

∴ The area of the scaled copy of Figure C = 28 × 4 = 112

The area of the scaled copy of Figure C Mayra created = 112 square units

Learn more about scale factor here:

https://brainly.com/question/22429673

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