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In Mathematics / Middle School | 2014-11-18

Each side length of the parallelogram is multiplied by four. Describe the change in the perimeter.

Asked by UnicornS1Me

Answer (3)

side length1 = x side length2 = y
2x + 2y = perimeter
2(4x) + 2(4)y = new perimeter 8x + 8y = new perimeter
new perimeter = 4 times the old perimeter

Answered by themoldycheesep | 2024-06-10

The change in the perimeter of a shape when each side length is multiplied by four is that the perimeter increases by a factor of four.
The change in the perimeter is described as follows:

Multiply each side length of the parallelogram by four.
This action results in the perimeter increasing by a factor of four as well.
For example, if the original perimeter was 20 units, it would become 80 units after multiplying each side by four.

Answered by AnkitaSi | 2024-06-24

When each side length of a parallelogram is multiplied by four, the perimeter increases to four times its original value. This is because the perimeter formula is linear with respect to the side lengths. Therefore, the new perimeter is calculated based on the new, scaled lengths of the sides.
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Answered by themoldycheesep | 2025-01-13