A square with side lengths of 5 units each was dilated by a factor of 4. Which must be true of the resulting figure?
A. It is still a rhombus, but no longer a square; its perimeter is unchanged.
B. It is still a rectangle, but no longer a square; its perimeter is 50 units.
C. It is a square with a perimeter of 20 units.
D. It is a square with a perimeter of 80 units.

D. A dilation makes the shape bigger but doesn’t change the shape. So it wouldn’t because a rhombus. You multiply 5 times 4 and get 20. 20 times 4 for each side length gives 80. So it is a square with a perimeter of 80 unites.

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AmitPaswan AmitPaswan · Answer 2 · 2022-05-18T08:09:45+02:00

it is a square with a perimeter of 80 units.

What is square ?

square is a quadrilateral whose all sides are equal, whose diagonals are equal and whose all angles are 90.

We have,

length of square = 5 units

Dilated by a factor = 4

According to the question

A dilation makes the shape bigger but does not change the shape. So it would not become a rhombus.

Then the side length become

5 × 4 = 20 units

Each side length become 20 units

We know the formula of perimeter of square = 4 × side length

= 4 × 20

= 80 units

Hence , it is a square with a perimeter of 80 units.

To learn more about square from here

https://brainly.in/question/554043

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