Question

the area of the rectangle is x²+7x+12 breadth is (x+3) then find the length of the rectangle​

Answer 1

Answer:

(x+4)

Step-by-step explanation:

area=length×breadth

length=area/breadth

=x²+7x+12/(x+3)

=(x+4)(x+3)/(x+3)

=(x+4)

Answer 2

Answer :–

• Length of the rectangle = x + 4.

Given :–

• Area of the rectangle = x² + 7x + 12.
• Breadth of the rectangle = (x + 3).

To Find :–

• Length of the rectangle.

Solution :–

We know that,

Area of the rectangle = Length (l) × Breadth (b)

So, the given values are :-

• Breadth = (x + 3).
• Area of the rectangle = x² + 7x + 12.

Now, put the given values in the formula.

➺ x² + 7x + 12 = (x + 3) × l

➺ $\dfrac{{x}^{2} + 7x + 12}{x + 3}$ = l

Division is in the attachment.

After division we get,

➺ x + 4

Hence,

The length of the rectangle is (x + 4).

Check :–

Area of the rectangle = length × breadth

• Area of the rectangle = x² + 7x + 12.
• Breadth of the rectangle = (x + 3).
• Length of the rectangle = (x + 4).

Now, put the values in the formula.

➺ x² + 7x + 12 = (x + 3)(x + 4)

Now, open both the brackets.

➺ x² + 7x + 12 = x² + 4x + 3x + 12

➺ x² + 7x + 12 = x² + 7x + 12

Since, the L.H.S. and the R.H.S. are equal.

So, the length of the rectangle is (x + 4) is correct.