WILL AWARD BRAINLIEST If the least value the variable k can be is 12, which of the following inequalities best shows all the pos
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Answer:
Part 1) The scale factor is 2
Part 2) The perimeter of the enlarged rectangle is 19 units
Part 3) The area of the enlarged rectangle is 19.5 square units (the area of the enlarged rectangle is 4 times the area of the original rectangle)
Step-by-step explanation:
we know that
A dilation is a non-rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeter is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
<em>step 1</em>
<em>Find the scale factor</em>
Let
z ---> the scale factor
step 2
Find the perimeter of the enlarged rectangle
Multiply the perimeter of the original rectangle by the scale factor
The perimeter of the original rectangle is
so
The perimeter of the enlarged rectangle is
step 3
Find the area of the enlarged rectangle
Multiply the area of the original rectangle by the scale factor squared
The area of the original rectangle is
so
The area of the enlarged rectangle is
The area of the enlarged rectangle is 4 times the area of the original rectangle
step 4
Find the value of b
Multiply the corresponding side of the original rectangle by the scale factor
Verify the perimeter of the enlarged rectangle
----> is ok
Verify the area of the enlarged rectangle
---> is ok