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Each side of a square is 10 meters long. A rectangle of the same perimeter as this has sides in the ratio 2:3. What is the area of the rectangle in square meters?
Each side of a square is 10 meters long. A rectangle of the same perimeter as this has sides in the ratio 2:3. What is the area of the rectangle in square meters?
The square's perimeter = 4 x 10 = 40 m. For the rectangle with sides in ratio 2:3, perimeter = 2(2x+3x) = 10x = 40, so x=4, giving sides 8 m and 12 m. Area = 8 x 12 = 96 square metres.
Re-check your working by substituting the answer back into the original question.