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The breadth of a rectangle is 9 units. Its length is four times the number obtained by subtracting 3 units from the breadth. What is the area of the rectangle?

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Answer and explanation

Correct answer: 216

The breadth is 9 units. According to the statement, the length is \(4(9-3)=4\times6=24\) units. Therefore, the area is \(\text{length}\times\text{breadth}=24\times9=216\) square units. The value 108 does not result from multiplying the correct length and breadth. In such questions, first evaluate the quantity inside the brackets and then apply the stated multiplier.

Related tags

Quadratic-EquationsWord-ProblemsRectangle-AreaAlgebraic-Expressions

Frequently asked questions

What is the correct answer to this question?

216

Why is this the correct answer?

The breadth is 9 units. According to the statement, the length is \(4(9-3)=4\times6=24\) units. Therefore, the area is \(\text{length}\times\text{breadth}=24\times9=216\) square units. The value 108 does not result from multiplying the correct length and breadth. In such questions, first evaluate the quantity inside the brackets and then apply the stated multiplier.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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