A rectangular field has a 5:4 length-to-breadth ratio. If breadth is 20 meters less than length, what is the field's perimeter_________?
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Answer: C. 360m
Explanation
Representing length and breadth with variables based on a five-to-four ratio sets up a solvable linear equation. Solving the difference equation yields a multiplier value of twenty for both rectangular dimensions. Calculating dimensions as one hundred meters and eighty meters yields a total perimeter of three hundred sixty meters. Perimeter of a rectangle is calculated by doubling the sum of its length and breadth measurements. Ratio representations use algebraic variables to maintain proportional relationships between geometric side lengths. Linear equations allow unknown dimensional values to be determined when given a direct difference constraint.
Fencing contractors calculate total perimeter wire lengths when enclosing rectangular agricultural plots of land. Real estate developers determine boundary fencing requirements based on proportional architectural site plans. Athletic facility managers measure track perimeters using proportional dimensional ratios for sports field construction. Option A suggests two hundred sixty meters which underestimates perimeter calculations based on correct dimensions. Option B suggests two hundred eighty meters which results from incorrect dimension calculations from the ratio. Option D is incorrect because option C provides the exact correct perimeter calculated from the problem.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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