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

Mathematics

2 answers:

Art [367]3 years ago

8 0

Answer:

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.

Talja [164]3 years ago

5 0

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

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