Question

The length and breadth of a rectangle are (x + 1)m and (x - 1) m respectively if half of the perimeter is
6m, then the value of x is​

Answer 1

✬ Value of x = 3 ✬

Step-by-step explanation:

Given:

• Length of rectangle is (x + 1) m.
• Breadth of rectangle is (x – 1) m.
• Half of perimeter is equal to 6.

To Find:

• What is the value of x ?

Solution: As we know that

★ Perimeter of Rect. = 2(Length + Breadth) ★

A/q

• Half of perimeter is equal to 6.

$\implies{\rm }$ 2(x + 1 + x – 1)/2 = 6

$\implies{\rm }$ 2 × 2x/2 = 6

$\implies{\rm }$ 4x/2 = 6

$\implies{\rm }$ 2x = 6

$\implies{\rm }$ x = 6/2

$\implies{\rm }$ x = 3

Hence, the value of x is 3.

__________________

• Length = 3 + 1 = 4
• Breadth = 3 – 1 = 2

➮ 2(4 + 2)/2 = 6

➮ 12/2 = 6

➮ 6 = 6

$\large\bold{\texttt {Verified }}$

Answer 2

Answer:

Given :-

The length and breadth of a rectangle are (x + 1)m and (x - 1) m respectively if half of the perimeter is 6

To Find :-

Value of x

Solution :-

We know that

Perimeter = 2(l + b)

Half of Perimeter = 2(l + b)/2

Half of Perimeter = l + b

Now

x + 1 + x - 1 = 6

(x + x) + (1 - 1) = 6

2x = 6

6/2 = x

3 = x

Value of x is 3