Question

The breadth of a rectangle is b, the length of a rectangular hall is 4 metre less than 3 times the breadth of the hall.
Write an algebraic expression for following

a. length of the rectangular hall
b. area of the rectangular hall ​

Answer 1

The length is (3 b - 4) meters.

Step-by-step explanation:

We have given,

Breadth of the rectangle = b meters,

Since, length of a rectangular hall is 4 meters less than 3 times the breadth of the hall,

⇒ Length = 3 × Breadth + 4

⇒ Length = 3b + 4,

Hence, the length of the rectangle is (3 b - 4) meters.

Answer 2

Answer:

a. 3b - 4

b. 3$b^2$ - 4b

Step-by-step explanation:

Let b be the breadth of the rectangle.

So, length = 3b - 4  (From question)

We know that area = length * breadth

So, area of the rectangle = 3b - 4 * b

                                          = 3$b^2$ - 4b

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