A plot's length is four times its breadth, and a 1200 sq m playground occupies one-third of its total area. What is the plot's length in meters?
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Answer: D. None of these
Explanation
Setting breadth to b and length to four b gives a total plot area of four b squared. One third of the total area equals twelve hundred meaning total plot area is thirty six hundred. Solving for breadth gives thirty meters making length one hundred twenty meters which matches none of options. Plot area is calculated by multiplying length by breadth in rectangular land measurements. Fractions of total areas allow setting up algebraic equations to determine unknown land dimensions. When calculated results do not match given choices standard multiple choice tests require selecting none of these.
Real estate developers calculate land parcel dimensions to comply with zoning and area regulations. Surveyors use geometric formulas to verify property boundaries and total acreage accurately. Understanding area fractions is essential in urban planning and civil engineering site design. Option A suggests twenty meters which yields an incorrect total area calculation. Option B suggests thirty meters which represents the breadth rather than the required length. Option C suggests sixty meters which fails to satisfy the one-third area condition.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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