Answer:
The statement is; True
Explanation:
From the question, we have;
Rectangle ABCD is similar to Rectangle WXYZ
Therefore, rectangle ABCD can be obtained from rectangle WXYZ by multiplying by a scale factor given by the ratio of the corresponding sides of the two rectangles
Whereby side CD of rectangle ABCD is the corresponding side to side YZ of the rectangle WXYZ, we have;
The scale factor to obtain ABCD from WXYZ = CD/YZ
The scale factor for area is obtained by raising the scale factor of length to the power of 2
Therefore, the scale factor to obtain the area of rectangle ABCD from the rectangle WXYZ = (CD/YZ)²
∴ Area of ABCD = Area of WXYZ × (CD/YZ)²
From which we have;
(Area of ABCD)/(Area of WXYZ) = (CD/YZ)²
Therefore, the statement is true