Help with this question please
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Answer:
Ben's mistake was that he multiplied the area of the original triangle by the scale factor
Step-by-step explanation:
<u><em>The complete question is</em></u>
Beth enlarged the triangle below by a scale of 5. A triangle with a base of 4 centimeters and height of 3.5 centimeters. She found the area of the enlarged triangle. Her work is shown below.
1/2(4)(3.5)(5)= 35 cm2
What was Beth’s error?
we know that
The dilation is a non-rigid transformation that produce similar figures
so
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the enlarged triangle
y ----> the area of the original triangle
so
The area of the enlarged triangle is equal to the area of the original triangle multiplied by the scale factor squared
therefore
Ben's mistake was that he multiplied the area of the original triangle by the scale factor