A hall's length is (4/3) times its breadth. If its area is 300 square meters, find the difference between its length and breadth__________?
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Answer: D. None of these
Explanation
Expressing length as four-thirds of breadth and multiplying them gives an area of three hundred square meters. Solving the area equation yields a breadth of fifteen meters and a calculated length of twenty meters. Subtracting breadth from length gives a difference of five meters which matches none of options A through C. Rectangular hall area is calculated by multiplying measured length by measured breadth dimensions. Solving quadratic area equations helps determine unknown linear dimensions from total surface measurements. When derived answers differ from listed choices option D represents the correct selection.
Architects calculate room dimensions and perimeter differences to optimize interior layout designs. Building contractors verify floor area specifications before ordering construction materials. Understanding proportional length-to-breadth ratios is essential in architectural drafting. Option A suggests fifteen meters which represents the breadth value rather than the difference. Option B suggests four meters which results from incorrect algebraic subtraction of dimensions. Option C suggests three meters which fails to match the derived length and breadth values.
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- Mathematics
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- Mathematics
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