Question

if a rectiangle length is 2 meter greather than breath and its area is 675m2 then its length and breath ​

Answer 1

Solution -

Firstly,

• Let the breadth of the rectangle be b.

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Now, it is given that length of the rectangle is 2m greater than its breadth. Therefore,

• Length = 2 + b

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We have,

• Area of the rectangle = 675m²

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Using formula

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⠀ ⠀ ⠀★ Area = Length × Breadth

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By putting the values

➝ Length × Breadth = 675

➝ (2 + b) × b = 675

➝ 2b + b² = 675

➝ b² + 2b - 675 = 0

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Factorizing

➝ b² + 27b - 25b - 675 = 0

➝ b(b + 27) - 25(b + 27) = 0

➝ (b + 27) (b - 25) = 0

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We get

• b = -27
• b = 25

Since, breadth of a rectangle cannot be negative. Hence, breadth of the rectangle is 25m.

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By putting the value of b

• Length = 2b
• Length = 2 × 25
• Length = 50m

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Thus, the length and the breadth of the given rectangle is 50m and 25m respectively.

Answer 2

Step-by-step explanation:

Let,

breadth of rectangle = x

lengtht of rectangle =x + 2

area of rectangle = length × breadth

x (x+2) = 675

x² + 2x = 675

x² + 2x - 675 = 0

x² + 27x - 25x - 675 = 0

x(x+27) - 25 (x + 27)

(x+ 27) (x-25)

x = 25

breadth = 25m

length = 27m