Question

A square has a perimeter of 24 cm. If the area of a square is quadrupled and its height remains constant,

happens to its base length?
a.
The base length is multiplied by 4.
b. The base length is divided by 4.
C.
The base length is increased by 4.
d. The base length is decreased by 4.

Answer 1

If the area of a square is quadrupled and its height remains constant, the base length is multiplied by 2.

Step-by-step explanation:

To find the base length of the square, we divide the perimeter by 4, since a square has all sides equal in length. Therefore, each side of the square would be 24 cm / 4 = 6 cm. If the area of the square is quadrupled, it means the area is multiplied by 4. Since the height remains constant, it implies that only the base length changes. Thus, the new base length of the square would be 6 cm * √4 = 12 cm. Therefore, option a. The base length is multiplied by 4 is incorrect.

Learn more about Area and perimeter of a square