Question
The ratio of the length to the breadth of a rectangular
field is 9:7. If the product of the length and the breadth (Area) is 567 square units, then find the difference between the length and the breadth of the field.Solution
Let the length and the breadth of the field be ‘9x’ and ‘7x’, respectively. According to the question, 9x × 7x = 567 Or, 63x² = 567 Or, x² = 9 Or, x = 3 (Since, ‘x’ cannot be negative in this case) Required difference = 9x – 7x = 2x = 2 × 3 = 6
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