A rectangular strip in a plant nursery is 6 m longer than it is wide and covers 20 m². Taking the width as x metres gives x² + 6x − 20 = 0. Find the width, correct to 2 decimal places. (√116 ≈ 10.7703)

Question

Accepted Answer

2.39 m. x = -6 ± √36 + 802 = -6 ± 10.7703/2 = 2.3852 or −8.3852. A width cannot be negative, so the strip is 2.3852 → 2.39 m wide. Chopping the extra digits instead of rounding gives 2.38, and dropping the minus sign on the rejected root gives 8.39.

A rectangular strip in a plant nursery is 6 m longer than it is wide and covers $20 m^{2}$ .
Taking the width as $x$ metres gives $x^{2} + 6 x - 20 = 0$ .
Find the width, correct to 2 decimal places. (√116 ≈ 10.7703)

Step-by-Step Solution

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More Class 10 The Quadratic Formula practice

A rectangular strip in a plant nursery is 6 m longer than it is wide and covers 20m2.Taking the width as x metres gives x2+6x−20=0.Find the width, correct to 2 decimal places. (√116 ≈ 10.7703)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

A rectangular strip in a plant nursery is 6 m longer than it is wide and covers $20 m^{2}$ .
Taking the width as $x$ metres gives $x^{2} + 6 x - 20 = 0$ .
Find the width, correct to 2 decimal places. (√116 ≈ 10.7703)