Q:

The base and the height of a parallelogram are multiplied by 6. Which of the following describes the effect of this change on the perimeter? The perimeter is multiplied by 1/36. The perimeter is multiplied by 1/6. The perimeter is multiplied by 6. The perimeter is multiplied by 36.

Accepted Solution

A:
Answer:The perimeter would also be multiplied by 6.Step-by-step explanation:The perimeter would also be multiplied by 6. Suppose the sides are 5 and 10. The perimeter would be the sum of the side lengths or 5 + 5 + 10 + 10 = 30.Multiply each side length so 5*6 = 30 and 10*6 = 60. Find the perimeter by finding their sum, 30 + 30 + 60 + 60 = 180.Divide the new perimeter by the old perimeter to find a scale factor. 180/30 = 6.The new perimeter is exactly 6 times bigger since 6*30 = 180.