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10. The perimeters of a square and a rectangle are equal. The length of the rectangle is twice the breadth, the side of square is 15 cm, then the area of the rectangle in sq. cm is....* |
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Answer» SIDE of the square (S) = 15 cm. Perimeter of the square = 4 X S = 4 X 15 = 60 cm. Since it is given that, Perimeter of the square = perimeter of the rectangle so , perimeter of the Rectangle = 60 cm Let the breadth be " X " LENGTH is TWICE the breadth = 2X According to problem 2 ( L + b) = 60 cm 2 ( 2X + X ) = 60 2 (3X) = 60 3X = 60/2 3X = 30 ==> X = 30/3 X = 10 Therefore, Breadth = X =10 cm Length = 2X = 2 (10) = 20cm Area of the rectangle = L X B = 20 cm x 10 cm = 200 cm^2 |
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