A square has a side length of $3x$ inches and an area of $324$ $i n^2$ . What is the value of $x$ ?

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Answer 1 · 2017-03-09T16:42:19

$x=6$

The formula for area of a square is:

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

From the given data, we write:

$324=(3x)^2$

Open the brackets and simplify.

$324=9x^2$

Divide both sides by $9$ .

$324/9=x^2$

$36=x^2$

Find the square root by factoring.

$2*2*3*3=x^2$

$(2*3)^2=x^2$

$6^2=x^2$

$:.x=6$

A square has a side length of 3x3x inches and an area of 324324 i n^2i n^2. What is the value of xx?