Length of each side of a square is equals to 6x.
What is rectangle?
" A rectangle is a two dimensional shape whose opposite sides are parallel and congruent to each other. Each of the interior angle is of measure 90°."
What is square?
" A square is a parallelogram whose all sides are congruent to each other. Each of the interior angle is of measure 90°."
Formula used
Area of rectangle = length × width
Area of square = (side)²
According to the question,
length of a rectangle = 12x
width of a rectangle = 3x
Substitute the value in the formula we have,
Area of rectangle = 12x × 6x
= 36x²
As per the question,
Area of rectangle = Area of square
Therefore ,
Area of square = 36x²
⇒ (side)² = 36x²
⇒ side = 6x
Hence, length of each side of a square is equals to 6x.
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