Respuesta :

Answer:

10 square in.

Step-by-step explanation:

The rectangles are similar by a scale factor of 3. We can tell because the quotient of two of the corresponding sides, 18 and 6, is 3 (18/6=3)

That means the width of ABCD is 3 times the width of WXYZ.

Let's say the width of ABCD is x. Then 18*x=90 because that's the area.

x=90/18=5

Now we have the width of ABCD, 5, so to get the width of WXYZ, we divide by 3, which is 5/3.

Now to get the area of WXYZ, we can do 5/3, the width, times 6, the length, which is 30/3=10.