Question

What is the approximate side length of the square?

A. 3.0 units
B. 3.5 units
C. 4.2 units
D. 4.9 units

Answer 1

The triangle inside the square creates an isosceles triangle, with two equal angles of 45° and an angle of 90°.

Let x = the side length of the square. 
Apply the Pythagorean theorem to the right triangle.
x² = 3³ + 3² = 18
x = √(18) = 4.243 units

Answer: C. 4.2 units

Answer 2

A square has 4 congruent sides

The approximate side length of the square is 4.2 units

Represent the side length of the square with x.

The side length (x) is then calculated using the following Pythagoras theorem

$x^2 = 3^2 + 3^2$

So, we have:

$x^2 = 9 + 9$

Add 9 and 9

$x^2 = 18$

Take the square root of both sides

$x = 4.2$

Hence, the approximate side length of the square is 4.2 units

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