A rectangle's length is twice its breadth. Decreasing length by 5 cm and increasing breadth by 5 cm gives what length_________?
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Answer: C. 40 cm
Explanation
Letting breadth be x makes the original length two times x according to the problem text. Altering length and breadth by five centimeters creates new algebraic expressions for the dimensions. Solving the transformation conditions determines the final resulting length value as forty centimeters. Rectangle dimensions can be modeled using single variable algebraic expressions based on ratios. Modifying length and breadth impacts the overall geometry and perimeter of the rectangle. Algebraic word problems require careful translation of descriptive changes into mathematical equations.
Design modifications in manufacturing often require adjusting product dimensions by fixed amounts. Geometric transformations help visualize how shape proportions change under dimensional adjustments. Algebraic problem solving strengthens analytical reasoning skills useful in technical fields. Option a suggests twenty centimeters which underestimates the scale of the original rectangle. Option b proposes thirty centimeters which fails to satisfy the dimensional transformation rules. Option d overestimates the resulting length compared to the proper algebraic solution.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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