Question

1. The length of a hall is 3 metres more than its breadth. If the area of the
hall is 238 square metres, calculate its length and breadth.​

Answer 1

Answer:

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Answer 2

Answer:-

Let the breadth of the hall be x m.

Given:

Length is 3 m more than breadth.

→ Length of the hall = (x + 3) m

Also given that,

Area of the hall = 238 m²

We know that,

Area of a rectangle = length * breadth

Hence,

→ 238 = (x + 3) * x

→ x² + 3x - 238 = 0

→ x² - 14x + 17x - 238 = 0

→ x(x - 14) + 17(x - 14) = 0

→ (x + 17)(x - 14) = 0

• x + 17 = 0

→ x = - 17

• x - 14 = 0

→ x = 14

Breadth of a hall cannot be negative. So, positive value is taken.

Therefore,

• Length of the hall = x + 3 = 14 + 3 = 17 m.

• Breadth of the hall = x = 14 m.