SOLUTION: a rectangle has a perimeter of 14 inches.A similar rectangle has a perimeter of 42 inches.The area of smaller rectangle is 10 square inches.What is the area of the larger rectangl

Question 874164: a rectangle has a perimeter of 14 inches.A similar rectangle has a perimeter of 42 inches.The area of smaller rectangle is 10 square inches.What is the area of the larger rectangle?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
2x+2y=14 and 6x+6y=42, and xy=10.
This seems like we only need one, the smaller rectangle, and its area; until later....

x+y=7 and xy=10.
;

The dimensions are 2 and 5 for the smaller rectangle.

The proportionality for similarity, , is found to be 3, linearly, so the larger rectangle dimensions are and
Meaning the area of the larger rectangle is
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