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the perimeter of a rectangle and square and equal if length of the rectangle Is 8 cm and breadth is 6 m find the are of the square |
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Answer» Given:
To FIND :
Step-by-step explanation: We know that, Perimeter of a rectangle = 2( l + b ) Substituting the values in the above formula, we get, = 2 × ( 8 + 6 ) = 2 × 14 = 28 cm In the above question it is given that, Perimeter of rectangle = perimeter of square. So, Perimeter of rectangle = Perimeter of square. We know that, Perimeter of square = 4 × side And, Perimeter of rectangle = 28 cm Substituting the values in the above formula, we get, 28 = 4 × side 28 = 4 side Or 4side = 28 Side = 28/4 Side = 7 Therefore, The side of the square = 7 cm Now, We have to find the Area of the square, We know that, Area of a square = side² Substituting the values in the above formula, we get, = 7² = 7 × 7 = 49 Thus, Area of a square = 49 cm² |
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