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Quadrilateral A has side lengths 3,6,6 and 9 . Quadrilateral b is a scaled copy of a with a shortest side length to 2 . Jada says since that side length go down by 1 in this scaling the perimeter goes down by 4 in tilt all. Do you agree with jada explain your reasoning

Respuesta :

calculista

Answer:

Jada's reasoning is incorrect

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

step 1

Find the scale factor

The scale factor is equal to the ratio of its corresponding sides

so

find the ratio of the shortest sides

The scale factor is 2/3

step 2

Find the perimeter of quadrilateral A

P=3+6+6+9=24 units

step 3

Find the perimeter of quadrilateral B

To find the perimeter B multiply the perimeter quadrilateral A by the scale factor

24(2/3)=16 units

Remember that the ratio of perimeters is equal to the scale factor

Verify

16/24=2/3 -----. is verified

therefore

Jada's reasoning is incorrect

ehar2150

Answer:

Jada is incorrect because because the perimeter goes down by 8.

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