To find the possible values of x, we need to determine the scale factor of the transformation.
The area of the square after the transformation is given as 110 cm².
The area of the original square is 10 cm³, but since it is a square, the area can also be expressed as s², where s is the length of a side of the square.
So, 10 cm² = s².
Taking the square root of both sides, we get:
√10 cm = s
Since the transformation multiplies the length of the side by a scale factor of 5, the length of the side after the transformation is 5√10 cm.
Setting this length equal to the length of the side of the transformed square (x):
5√10 cm = x
Therefore, the possible values of x are 5√10 cm.
T I a transformation represented by the matrix (5x 2) under T a square whose area is 10cm³
(-3 x)
is mapped onto a square of 110cm².Find the possible values of x
1 answer