Question

Q1.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

Explanation:

✬ 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.

⟹ 2(x + 1 + x – 1)/2 = 6

⟹ 2 × 2x/2 = 6

⟹ 4x/2 = 6

⟹ 2x = 6

⟹ x = 6/2

⟹ 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

VERIFIED