A rectangular plot's length is three times its breadth. If its area is 867 sq m, what is its breadth?
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Answer: B. 17 m
Explanation
Expressing the length as three times the breadth allows the area formula to be written as a single variable equation. Dividing the total area by three provides the squared value of the breadth, which equals two hundred eighty-nine. Taking the positive square root of two hundred eighty-nine yields a final breadth measurement of seventeen meters. The area of a rectangle is found by taking the product of its length and its breadth dimensions. A square root operation reverses the process of multiplying a number by itself to find the original value. Geometric proportions establish fixed mathematical relationships between different sides of a multi-sided polygon.
Option A is incorrect because squaring eight point five results in an area much smaller than the given figure. Option C is incorrect because squaring thirty-four produces an area far exceeding eight hundred sixty-seven square meters. Option D is incorrect because a breadth of fifty-one meters yields an area thousands of units too large.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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