Question

The area of a rectangle is 6x? – 7x – 5 metre square. If is length is 2x +1 m, then find the breadth​

Answer 1

$\Large\red\bigstar{\text{\underline{\underline{\: Correct\: Question}}}}$

The area of a rectangle is 6x²- 7x- 5 m². If is length is 2x+1 m, then find the breadth.

$\Large\blue\bigstar{\text{\underline{\underline{\: Concept}}}}$

In the above question, we can find the breadth of the rectangle by a simple quadratic equation as per the question.

$\Large\green\bigstar{\text{\underline{\underline{\: Solution}}}}$

⇒ Length of rectangle = (2x+1) m

⇒ Area of rectangle = (6x²-7x-5) m²

Let the breadth of the rectangle be b

We Know That :-

• Area of Rectangle = Length × Breadth

⇒ 6x²-7x-5 = (2x+1) × b

⇒ 6x²+3x-10x-5 = (2x+1)b

⇒ 3x(2x+1) -5(2x+1) = (2x+1)b

⇒ (2x+1)(3x-5) = (2x+1)b

⇒ b = $\large{\sf{\frac{(2x+1)(3x-5)}{(2x+1)}}}$

∴ b = (3x-5) m

$\Large\green\bigstar{\text{\underline{\underline{\: Answer}}}}$

• The breadth of the rectangle is (3x-5) m.

Answer 2

Questions

The area of a rectangle is 6x²- 7x- 5 m². If is length is 2x+1 m, then find the breadth.

answer

Length of rectangle = (2x+1) m

⇒ Area of rectangle = (6x²-7x-5) m²

Let the breadth of the rectangle be b

We Know That :-

• Area of Rectangle = Length × Breadth

⇒ 6x²-7x-5 = (2x+1) × b

⇒ 6x²+3x-10x-5 = (2x+1)b

⇒ 3x(2x+1) -5(2x+1) = (2x+1)b

⇒ (2x+1)(3x-5) = (2x+1)b

⇒ b (2x+1)(3x-5)(2x+1)

(2x+1)

(2x+1)(3x−5)

∴ b = (3x-5) m