Quantity I: a2 + lb = 546 142 + 25b = 546 196 + 25b = 546 25b = 546 – 196 25b = 350, b = 14 cm Perimeter of square = 4a = 4 `xx` 14 = 56 cm Perimeter of rectangle = 2 x (l + b) = 2 x (25 + 14) = 78 cm Required sum = 56 + 78 = 134 cm Quantity II: The area of the equilateral triangle = 441√3 Sq cm The area of the equilateral triangle = (√3/4) `xx` a2 a2 = 441 `xx` 4 Side (a) = 21 `xx` 2 = 42 cm The diameter of the circle = 42 cm Radius (r) = 21 cm Circumference of the circle = 2πr = 2 x (22/7) x 21 = 132 cm
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