A (20\text{ m}) long rope forms a rectangle in an open field. If the area is (96\text{ m}^2), is this situation possible?

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

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Answer and explanation

Correct answer: Impossible because the discriminant is negative

With perimeter (20), (l+b=10) and (lb=96). The equation (x(10-x)=96) has discriminant (100-384<0), so the rectangle is impossible.

What is the correct answer to this question?

Impossible because the discriminant is negative

Why is this the correct answer?

With perimeter (20), (l+b=10) and (lb=96). The equation (x(10-x)=96) has discriminant (100-384<0), so the rectangle is impossible.

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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