A rectangular plot has a length 4 ½ times its breadth. If the area is 200 square meters, what is its length?
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Answer: B. 30m
Explanation
Expressing length as four point five times breadth establishes the algebraic equation four point five x squared. Equating four point five x squared to two hundred yields an x squared value of forty over nine. Multiplying the breadth by four point five gives a final calculated length of thirty meters. The area of a rectangle is determined by multiplying its length by its breadth. Algebraic substitution allows solving for unknown linear dimensions using given area constraints. Fractions like nine halves simplify calculations when dealing with decimal multipliers.
Property surveyors often use proportional side relationships to map irregularly shaped land parcels. Carpenters calculate lumber dimensions based on standard area coverage requirements for flooring projects. Packaging engineers design boxes where height or length maintains a strict multiple of the width. Option a fails to satisfy the area equation when multiplied by its corresponding breadth. Option c results in an area significantly larger than the two hundred square meters specified. Option d is incorrect because a valid numerical solution exists within the choices.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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