The ratio of the length and breadth of a rectangle is 6:5, respectively. It is made from a circular loop of a wire having a radius of 14 cm. Find the sum of the length of the rectangle and the diameter of the loop.
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Correct answer: B
Explanation
Given:
Length : Width = 6 : 5
Radius of the circle = 14 cm
By the formula:
Circumference of the circle = 2πr
Perimeter of the rectangle = 2(length + width)
Circumference of the circle = 2 × 22/7 × 14 = 88 cm
Perimeter of the rectangle = 88
Let
Length = 6x, Width = 5x
2(6x + 5x) = 88
2(11x) = 88
22x = 88
x = 4
Length = 6x = 24 cm
Diameter of the loop = 2r = 28 cm
Sum = 24 + 28 = 52 cm