The area of a square is $40$ $i n ^2$ . If the length of each side of the square is $2x$ $i n$ , what is the value of $x$ ?

Question

5383 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-09T16:53:26

$x=sqrt10$

The formula for the area of a square is:

$A=a^2$ , where $A=$ area, and $a=$ length of any side.

Using the given data, we write:

$40=(2x)^2$

$40=4x^2$

Divide both sides by $4$ .

$40/4=x^2$

$10=x^2$

$x=sqrt10$

The area of a square is 4040 i n ^2i n ^2. If the length of each side of the square is 2x2x i ni n, what is the value of xx?