Question

If the length of a side of a square is increased from 4 to 8, which of the following statements is true?

Answer 1

Answer:

C.) The perimeter is doubled and the area is quadrupled.

Step-by-step explanation:

Original square: side = 4

Area = side^2 = 4^2 = 16 square units

Perimeter = 4 * side = 4 * 4 = 16 units

Larger square: side = 8

Area = side^2 = 8^2 = 64 square units

Perimeter = 4 * side = 4 * 8 = 32 units

Comparison of areas:

(larger square area)/(original square area) = 64/16 = 4

Comparison of perimeters:

(larger square perimeter)/(original square perimeter) = 32/16 = 2

Answer:

C.) The perimeter is doubled and the area is quadrupled.