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aliyyahlove
20.04.2020 •
Mathematics
A prallelogram has a height of 4 cm and a base of 8 cm. After being dilated, the resulting image has an area of 8 cm2. What scale factor was applied to the base and height of the original parallelogram?
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Ответ:
The scale factor applied was 1/2
Step-by-step explanation:
step 1
Find the area of the original parallelogram
A=bh
substtute the given values
step 2
Find the scale factor
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> scale factor
x ---> area of the dilated parallelogram
y ---> area of the original paeallelogram
so
we have
substitute
simplify
therefore
The scale factor applied was 1/2
Ответ: