Question
The breadth of a rectangular hall is 8/25 of its length.
If the area of the floor is 200 sq. m., then the difference between the length and breadth of the hall is:Solution
Using formula Area = lb, Let the length of rectangular hall = x metre Therefore, Breadth = (8x/25) metre Area of rectangle = Length x Breadth ⇒ (8x/25) × x ⇒ 8x2/25 m2 According to question, ⇒ 8x2/25 = 200 Therefore, x2 = (200 x 25)/8 or, x = √{(200 x 25)/8} = 25 m Therefore, Length = 25 m and Breadth = 8 m Therefore, required difference = 25 – 8 = 17 m
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