Subject
Quantitative Aptitude
Topic
Mensuration
The length of a rectangle is twice the diameter of a circle. The circumference of the circle is numerically equal to the area of a square of side 22 cm. What is the breadth of the rectangle if its perimeter is 668 cm?
The length of a rectangle is twice the diameter of a circle. The circumference of the circle is numerically equal to the area of a square of side 22 cm. What is the breadth of the rectangle if its perimeter is 668 cm?
ক)
12 cmখ)
26 cmগ)
6 cmঘ)
16 cmঙ)
None of theseExplanation
Let the length and the breadth of the rectangle are l and b respectively. We know that, formulae: → Perimeter of a rectangle = (length + breadth) × 2 → Circumference of a circle = 2πr Where, r = radius of the circle Now, according to the question, 2(l + b) = 668 ∴ l +b=334 ∴ l = (334-b) And, length of the rectangle =Twice the diameter of the circle ⇒ 334 – b=2×d=2× 2r=4r ∴ r=(334–b)/4 Area of square =circumference of circle, ⇒ (22) 2 =2πr ∴ b=334 – 308=26cm. Hence, the required answer is 26 cm.Related questions
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