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Answered

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

A.) Both area and perimeter are doubled.
B.) Both the area and perimeter are quadrupled.
C.) The perimeter is doubled and the area is quadrupled.
D.) The perimeter is quadrupled and the area is doubled.

Sagot :

mathstudent55

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.

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