SOLUTION: suppose x and y are similar. The demenstions of rectangles x are 5 cm by 7 cm. The area of rectangle Y is 140 square cm. What are the dimensions of rectangle Y? I know

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Question 245193: suppose x and y are similar. The demenstions of rectangles x are 5 cm by 7 cm. The area of rectangle Y is 140 square cm. What are the dimensions of rectangle Y?
I know i have to find a scale factor between the two rectangles. Please help. Thank you

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the scale factor. Then we know that the dimensions of Y are times the dimensions of X, so knowing that the area of Y is the length of Y times the width of Y, we can write:



Just solve for . Discard the negative root of the equation because a negative scale factor does not make any sense in this context.


John