Question

The length of a rectangle is 6 cm more than three times its breadth. The perimeter is 132 cm. Its length is​

Answer 1

Answer:-

Let the breadth of the rectangle be x m.

Given:

Length is 6 more than thrice the breadth.

→ Length of the rectangle = (3x + 6) m

Also given that,

Perimeter of the rectangle = 132 cm

We know that,

Perimeter of a rectangle = 2(length + breadth)

Hence,

⟶ 132 = 2(3x + 6 + x)

⟶ 132 = 6x + 12 + 2x

⟶ 132 - 12 = 8x

⟶ 120/8 = x

⟶ 15 = x

Hence,

• Breadth = x = 15 m.

Now,

Length of the rectangle = 3x + 6

⟶ 3(15) + 6

⟶ 45 + 6

⟶ 51 m.

Therefore, the length of the rectangle is 51 m.

Answer 2

Answer:

let the breadth of the rectangle be x

and the length of the rectangle = 3x+6

perimeter of rectangle=132(given)

2(3x+6+x)=132

7x+12=132

8x=132-12

8x=120

x=120/8 =15

x=15

length of the rectangle = 3x+6

= 3*15+6

= 51cm