Question
Download Solution PDFRatio of length and breadth of rectangle is 5:3. Diameter of circle is 7/5 of the length of rectangle. Circumference of circle is 24 m more than the perimeter of rectangle. Find the area of rectangle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation
Let length = 5x, breadth = 3x
Diameter of circle = (7/5) × 5x = 7x
⇒ Radius = 7x/2
Circumference = 2πr = 2 × (22/7) × (7x/2) = 22x
Perimeter of rectangle = 2(5x + 3x) = 16x
Given:
22x = 16x + 24
⇒ 6x = 24 ⇒ x = 4
Length = 20, Breadth = 12
Area = 20 × 12 = 240 m²
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