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9. The width of a rectangular hall is 1/2 of its length. If the area of the hall is 450 sq.m, what is the

difference between its length and breadth?n

## Answers

- Width of a rectangular hall is 1/2 of its length

- Area of the hall is 450 sq. m

- Difference between its length and breadth

- Let the length be "x"

- Let the width be "y"

➠ Length × Breadth ------- (1)

Width of a rectangular hall is 1/2 of its length

*So,*

➠ --- (2)

- Length = x

- Width = y =

Putting these values in (1)

➠ Length × Breadth

➜ x ×

➜ x ×

➜ x² = 450 × 2

➜ x² = 900

➜

x = -30

➨ x = 30 ------- (3)

Length can't be negative , hence x = 30

- Hence length of rectangular hall is 30 m

➜

➜

➨ y = 15

- Hence width of rectangular hall is 15 m

Now we need to find the difference between its length and breadth

➠ x - y

➜ 30 - 15

➨ 15

∴ The difference between its length and breadth is 15 m

**Given:**

The width of a rectangular hall is 1/2 of its length.

Area of the hall = 450 m²

**To Find:**

Difference between the hall's length and breadth

**Solution:**

**What is the area of a rectangle?**

The Area of a rectangle is given by:

__A = length × breadth__

- As per the given question,

Let the length of the rectangular hall be x m

Then the width of the hall will be m

- Now we put these variables into the formula for area:

(x). () = 450

⇒ = 450

⇒ x² = 900

⇒ x = √900 = 30

**Therefore, length of the hall = 30 m**

And the width of the hall = = **15 m**

Hence, difference between length and width

= 30 -15

= **15 m**

**Therefore, the difference between its length and breadth is 15 m.**

**Therefore, the difference between its length and breadth is 15 m.**