Answer:
Option A. k = 4.5, 54 cm
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 corresponding sides is proportional and this ratio is called the scale factor
In this problem the constant of proportionality is equal to the scale factor
step 1
Find the scale factor
Let
k -----> the constant of proportionality
-----> ratio of the corresponding sides
step 2
Find the value of x
therefore
k = 4.5, 54 cm
Perimeter of rectangle = length + length + width + width
To find the combinations, think of two numbers that each multiplied by 2 and added up to give 12 or 14
Rectangle with perimeter 12
Say we take length = 2 and width = 3
Multiply the length by 2 = 2 × 2 = 4
Multiply the width by 3 = 2 × 3 = 6
Then add the answers = 4 + 6 = 10
This doesn't give us perimeter of 12 so we can't have the combination of length = 2 and width = 3
Take length = 4 and width = 2
Perimeter = 4+4+2+2 = 12
This is the first combination we can have
Take length = 5 and width = 1
Perimeter = 5+5+1+1 = 12
This is the second combination we can have
The question doesn't specify whether or not we are limited to use only integers, but if it is, we can only have two combinations of length and width that give perimeter of 12
length = 4 and width = 2
length = 5 and width = 1
--------------------------------------------------------------------------------------------------------------
Rectangle with perimeter of 14
Length = 4 and width = 3
Perimeter = 4+4+3+3 = 14
Length = 5 and width = 2
Perimeter = 5+5+2+2 = 14
Length = 6 and width = 1
Perimeter = 6+6+1+1 = 14
We can have 3 different combinations of length and width
Answer:
01 V READING / VOCABULARY The Prophecy of the Frogs: Write a paragraph (3-4 sentences) in your notebook to explain why this animated film is a tragicomic social fable. (Why is it a fable, why is it a social fable, why is it tragicomic). Submit a photo of your work in TEAMS.
