Question
The circumference of a circle is 77 cm and the length of
the rectangle is 4 times the radius of the circle. Find the area (in cm2) of the rectangle, if the ratio of length and the breadth of the rectangle is 7:5, respectively.Solution
Let the radius of the circle = ‘r’ cm Circumference of the circle = 2πr 77 = 2 × (22/7) × r r = 12.25 Radius of the circle = 12.25 cm Length of the rectangle = 12.25 × 4 = 49 cm Breadth of the rectangle = (49/7) × 5 = 35 cm Area of the rectangle = 49 × 35 = 1715 cm2
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