Respuesta :
Area of Square B is 144, divided 24 by 4 to get 6 for one side, multiplied by 6 to get the total area of Square A and then multiplied by 4 to get the area of Square B.
The perimeter of Square B is 48 because 12 x 12 = 144, so 12 + 12 + 12 + 12 = 48
The perimeter of Square B is 48 because 12 x 12 = 144, so 12 + 12 + 12 + 12 = 48
Answer:
area of Square B: 144 quadratic units
perimeter of Square B: 48 linear units
Step-by-step explanation:
The perimeter of a square is
perimeter = 4*L
where L is the length of each square side. For square A:
24 = 4*L
L = 24/4
L = 6 linear units
The area of a square is
area = L^2
For square A:
area = 6^2 = 36 quadratic units
The area of Square B is 4 times the area of Square A. So
area of Square B = 4*area of Square A
area of Square B = 4*36
area of Square B = 144 quadratic units
And the length of the sides of the square B can be computed as
area = L^2
L = sqrt(area)
L = sqrt(144)
L = 12 linear units
Therefore, the perimeter of square B is
perimeter = 4*L
perimeter = 4*12
perimeter = 48 linear units
