Question

Patty has a parallelogram that has a base of 3 feet and a height of 5 feet. The base and height will each be doubled. Will the area also be doubled? Explain how you know.

Answer 1

No, the area will not be doubled. Instead, it will be quadrupled

Explanation:

Let the length of the base be b and the height be h.

Original area = b x h

= 3 x 5

= 15 square feet

New area = b x h

= (2 x 3) x (2 x 5)

= 6 x 10

= 60 square feet

Therefore, the area is quadrupled when both the base and the height are doubled.

Answer 2

Sample response: No, the area will be multiplied by 4. The original area is 3 × 5 = 15 square feet. If the base and the height are both doubled, then the new area will be 6 × 10 = 60. 60 is 4 times 15.