Question
Perimeter of a square is equal to perimeter of a
rectangle, if area of square is 324 sq.cm and length of rectangle is three times that of breath. Find the area of rectangle.Solution
ATQ, Area(square) = 324 cm² Side of square = √324 = 18 cm Perimeter of square = 4 × 18 = 72 cm Let breadth of rectangle = b cm Length of rectangle = 3b cm Perimeter of rectangle = 2(l + b) = 2(3b + b) = 8b Given: 8b = 72 b = 9 cm l = 3b = 27 cm Area(rectangle) = l × b = 27 × 9 = 243 cm²
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