SOLUTION: if the peremeter of a rectangle and a square are equal and the ratio of 2 adjecent sides of the rectangle ais 1:2, then find the ratio of their areas
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Question 847449: if the peremeter of a rectangle and a square are equal and the ratio of 2 adjecent sides of the rectangle ais 1:2, then find the ratio of their areas
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The square, side s.
Perimeter is and area is .
The rectangle, sides x and 2x.
Perimeter is .
Both perimeters are specified to be equal.
.
-
Solving for s, and this is to be used for finding area for the square and for the rectangle, as expressions.
Area for the square: .
Area for the rectangle: .
-
RATIO of the areas of the square to the rectangle:
.
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