A rectangle's length is triple its breadth with a 96 m perimeter. Find its area.
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Answer: A. 432 sq m
Explanation
The perimeter of a rectangle is calculated by taking twice the sum of its length and breadth. Given that the length is triple the breadth, the perimeter expression simplifies to eight times the breadth equaling ninety six. Solving for breadth gives twelve, making the length thirty six and the resulting area four hundred thirty two square meters. Perimeter measures the total distance around the exterior boundary of a two dimensional shape. Rectangular area is computed by multiplying the numerical length value by the breadth value. Algebraic substitution simplifies multi variable word problems into solvable single variable equations.
Construction and fencing projects rely on perimeter formulas to determine boundary material needs. Architects use rectangular area and perimeter calculations to design functional room layouts. Real estate evaluations require accurate square footage measurements based on linear dimensions. Option B underestimates the area by using incorrect length and breadth dimensions. Option C is incorrect because it does not match the product of the derived dimensions. Option D represents a minor arithmetic error in the final area multiplication step.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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