SOLUTION: Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3. The resulting rectangle WXYZ has an area of 72 cm2. Tristan found that the area of rectang

Question 1137909: Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a
factor of 3. The resulting rectangle WXYZ has an area of 72 cm2. Tristan
found that the area of rectangle ABCD must be 8 cm2, is he correct?
A. No, because he needs to divide the area of rectangle WXYZ by 3.
B. No, because he needs to multiply the area of rectangle WXYZ by 3.
C. Yes, because he needs to find the possible dimensions for rectangle WXYZ
and then divide them by 3.
D. Yes, because he needs to find the possible dimensions for rectangle WXYZ
and then multiply them by 3.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Let's say rectangle WXYZ is 24 cm by 3 cm (see note below). Its area would be 72 cm^2 since 24*3 = 72.
Divide each dimension by 3 to get
24/3 = 8
3/3 = 1
The smaller rectangle ABCD is 8 cm by 1 cm with area 8 square cm.

note: you don't have to go with 24*3. You can use any two values that multiply to 72

Answer: C) Yes; divide each dimension of WXYZ by 3

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