The perimeter of square a is 24 linear units. the area of square b is 4 times the area of square a. what is the area of square b? what is the perimeter of square b? show your work

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

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: