A rectangular garden in Pune has length 3 m more than its width. Its area is 40 sq m. Forming x^2 + 3x - 40 = 0 for the width x, find the width (in metres) using the quadratic formula.

Question

Accepted Answer

5. D = 9 + 160 = 169, √D = 13. x = -3 ± 13/2 = 5 or -8. Width must be positive: 5 m.

A rectangular garden in Pune has length 3 m more than its width.
Its area is 40 sq m. Forming $x^{2} + 3 x - 40 = 0$ for the width $x$ ,
find the width (in metres) using the quadratic formula.

Step-by-Step Solution

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More Class 10 The Quadratic Formula practice

A rectangular garden in Pune has length 3 m more than its width.Its area is 40 sq m. Forming x2+3x−40=0 for the width x,find the width (in metres) using the quadratic formula.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

A rectangular garden in Pune has length 3 m more than its width.
Its area is 40 sq m. Forming $x^{2} + 3 x - 40 = 0$ for the width $x$ ,
find the width (in metres) using the quadratic formula.