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Let the length and breadth of the rectangular be ‘5x’ metres and ‘6x’ metres, respectively Then, perimeter of the paper = 2 × (length + breadth) = 2 × (5x + 4x) = 18 x metres So, 18x = 90 So, x = (90/18) = 5 So, area of the entire paper = length × breadth = (5 × 5) × (4 × 5) = 25 × 20 = 500 m2 Area of the triangular piece = (1/2) × base × height = (1/2) × 11 × 12 = 66 m2 So, area of the remaining paper = 500 – 66 = 434 m2
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