Question

the length of a rectangle is 5 times it's breadth and its perimeter is 24 units . find the length of the rectangle​

Answer 1

Answer:

• Breadth = 2 units
• Length = 10 units

Step-by-step explanation:

Perimeter = 24 units

Breadth = x units

Length = 5x units

Perimeter of rectangle = 2(l + b)

24 units = 2(5x + x)

24 units = 2(6x)

24 units = 12x

24/12 = x

2 = x

• Breadth = x = 2 units
• Length = 5x = 5(2) = 10 units

Answer 2

Given :-

• The Length of a rectangle is 5 times it's breadth.

• Perimeter of Rectangle = 24 units.

To Find :-

• Length of Rectangle.

Solution :-

Let,

• Breadth of Rectangle = x units.

It is Given that,

Length of Rectangle is 5 times than its breadth.

So, It will become 5x units.

According to the Question,

2(x + 5x) = 24.

⇢ 2(6x) = 24.

⇢ 12x = 24.

⇢ x = 24 ÷ 12.

⇢ x = 2 units.

Therefore, Dimensions of Rectangle :-

• Breadth = x = 2 units.

• Length = 5x = 10 units.

Verification :-

⇢ 2(x + 5x) = 24.

⇢ 2(6x) = 24.

⇢ 2(6)(2) = 24.

⇢ 12 × 2 = 24.

⇢ 24 = 24.

LHS = RHS.

Hence, Verified.