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kleathers97
13.09.2019 •
Mathematics
If the area of polygon p is 72 square units, what is the scaled factor did deigo use to go from p to q?
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Ответ:
The scale factor used to go from P to Q is 1/4
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, then the ratio of its areas i equal to the scale factor squared
Let
z ----> the scale factor
x -----> area of polygon Q
y -----> area of polygon P
we have
Find the area of polygon Q
Divide the the area of polygon Q in two triangles and three squares
The area of the polygon Q is equal to the area of two triangles plus the area of three squares
see the attached figure N 2
Find the area of triangle 1
Find the area of three squares (A2,A3 and A4)
Find the area of triangle 5
The area of polygon Q is
Find the scale factor
we have
substitute and solve for z
square root both sides
therefore
The scale factor used to go from P to Q is 1/4
Ответ:
Adjacent
Step-by-step explanation:
∠3 and ∠4 share a common vertex & arm