4) If the area of a square is 48cm²,
What is the length of each side?
Simplify your answer.

4 sqrt(3) cm

Step-by-step explanation:

The area of a square is

A = s^2  where s is the side length

48 = s^2

Take the square root of each side

sqrt(48) = sqrt(s)

sqrt(16*3) = s

4 sqrt(3) =s

4√3 cm

Step-by-step explanation:

The area of square = s²

s meaning side. Remember, by definition of a square, all the sides have equal measurements.

Set the equation:

Area of square = 48cm²

48cm² = s²

Isolate the variable, s. Note the equal sign, what you do to one side, you do to the other. Root both sides of the equation:

√48cm² = √s²

s = √48 = √(8 x 6) = √(2 x 2 x 2 x 3 x 2) = (2 x 2)√3 = 4√3

4√3 cm is your length for a side.

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27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =