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

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) (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

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