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12.12.2019 •
Mathematics
Beth enlarged the triangle below by a scale of 5. height 3.5 cm, width 4cm. she found the area of the enlarged triangle. her work is shown below. 1/2(4)(3.5)(5)= 35 cm2what was beth’s error?
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Ответ:
Ben's mistake was not multiplying the area of the original triangle by the scale factor squared.
Step-by-step explanation:
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 not multiplying the area of the original triangle by the scale factor squared.
Ответ:
use KCF strategy
1/2 x 6/1=3
1x6=6
2x1=2
6/2=3