Question

Fiona enlarges a parallelogram that has a perimeter of 17 meters.

What is the perimeter of the enlarged parallelogram?

30 meters

73.5 meters

102 meters

105 meters

Answer 1

c,102 cm

Explanation:

Answer 2

C. 102 meters.

Explanation:

Since we know that dilation changes the all sides of any figure with the same factor.

We have been given two parallelograms and lengths of their corresponding sides. We can see that side length 3.5 m corresponds to side length 21 m. Let us find factor of dilation from our given side lengths.

`\text{Factor of dilation}=(21)/(3.5)`

`\text{Factor of dilation}=6`

The factor of dilation is 6, which means that sides of larger parallelogram are 6 times the sides of smaller parallelogram.

We have been given that perimeter of smaller parallelogram is 17 meters, therefore, the perimeter of our larger parallelogram will be 6 times the perimeter of smaller parallelogram.

`\text{Perimeter of larger parallelogram}=6* 17`

`\text{Perimeter of larger parallelogram}=102`

Therefore, the perimeter of larger parallelogram will be 102 meters and option C is the correct choice.