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02.09.2021 •
Mathematics
4) Use the figures to answer the question.
1
Trapezoid ABCD is dilated to create trapezoid EFGH by a scale factor of
1/2
Find the perimeter and area of both figures.
(LOOK AT PICTURE)
Find the dimensions of trapezoid EFGH.
SIDE FG CORRESPONDS TO SIDE? A3.0in B.HE C 2.7in D.BC
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Ответ:
Let's compare side lengths (a) of the first three squares:
1. square: a₁ = 24 inches
2. square: a₂ = 19.2 inches
3. square: a₃ = 15.36 inches
Therefore, everytime Orlando reduces side length 1.25 times.
Now, let's reduce side length of 3. square 1.25 to get side length of 4. square:
4. square: a₄ = ?
⇒
⇒
⇒ a₄ = 12.288 inches
Since 12.288 inches is still more than 12 inches, we need 5. square:
4. square: a₅ = ?
⇒
⇒
⇒ a₅ = 9.83 inches
Thus, fifth square is the first square with a side length (9.83 inches) of less than 12 inches.