Question

The length of a rectangular hall is 4 meters less
than 3 times the breadth of the hall. What is the
length, if the breadth is b meters?
​

Answer 1

• Length of the hall = 3b – 4 m.

Given :–

• The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall.
• The breadth = b meters.

To Find :–

• The length of the hall.

Solution :–

Given that,

Breadth = b

According to the condition,

Length of the hall is 4 m is less than 3 times the breadth.

Means,

3 × (Breadth of the hall) – 4m

$\mapsto 3 \times (b) - 4 \: m$

$\mapsto 3b - 4m$

So, we obtain, the length of the hall = 3b – 4 m.

Hence,

The length of the hall is 3b – 4 m.

______________________________

Additional Information :–

Some formulas related to a rectangle :–

1. Area of the rectangle = Length × Breath

2. Perimeter of the rectangle = 2(length + breadth)

3. Diagonal of the rectangle = $\sf \sqrt{{Breadth}^{2} + {Length}^{2}}$

• When area is given.

4. Length of the rectangle = $\sf \dfrac{Area}{Breadth}$

5. Breadth of the rectangle = $\sf \dfrac{Area}{Length}$

• When perimeter is given.

6. Length of the rectangle = $\sf \dfrac{Perimeter}{2} - breadth$

7. Breadth of the rectangle = $\sf \dfrac{Area}{Length}$

• When diagonal is given.

8. Length of the rectangle = $\sf \sqrt{{Diagonal}^{2} + {Breadth}^{2}}$

9. Breadth of the rectangle = $\sf \sqrt{{Diagonal}^{2} + {Length}^{2}}$

Answer 2

Answer:

✡ Question ✡

➡ The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?

✡ Given ✡

➡ The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall.

➡The breadth = b meters.

✡ To Find ✡

➡ Length of the hall = ?

✡ Solution ✡

▶Length of the hall is 4 m is less than 3 times the breadth.

According to the question:-

3×(Breadth of the hall)–4m

=> 3×(b)−4m

=> 3b−4m

So, the length of the hall = $\bold{\large{\fbox{\color{blue} {3b - 4m}}}}$

Step-by-step explanation:

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