Question

A wire of length 150 cm is bent into a rectangle. If the length of the rectangle is 5 cm less than thrice its breadth, then answer the following: .The length of the rectangle is_cm .The breadth of the rectangle is_cm

Answer 1

Answer:

The length of the rectangle is 55 cm

The breadth of the rectangle is 20 cm

Step-by-step explanation:

Let,

Breadth of rectangle = x

Length of rectangle = 3x - 5

Perimeter of rectangle = 150 cm

Perimeter of rectangle = 2 (l + b)

⇒ 2 (x + 3x - 5 ) = 150

⇒ 2 ( 4x - 5) = 150

⇒ 8x - 10 = 150

⇒ 8x = 150 + 10

⇒ 8x = 160

⇒ x = 160 / 8

⇒ x = 20

Breadth of rectangle = 20 cm

Length of rectangle = 3x - 5

⇒ 3 (20) - 5

⇒ 3 × 20 - 5

⇒ 60 - 5

⇒ 55

Length of rectangle = 55 cm

Therefore,

The length of the rectangle is 55 cm

The breadth of the rectangle is 20 cm

Answer 2

• The Length of the rectangle is 55cm.
• The breath of the rectangle is 20cm.

Given that :-

• Let breath of rectangle be "R"cm.
• And length of rectangle be " 3R - 5"cm.
• Perimeter of rectangle is 150 cm.

To Find :-

• Length and breath of the rectangle.

Solution :-

As we know that,

=> Perimeter of rectangle = 2(l + b)

=> 150 = 2 ( R + 3R - 5)

=> 150/2 = 4R - 5

=> 75 = 4R - 5

=> -4R = -75 - 5

=> -4R = -80

=> 4R = 80

=> R = 80/4

=> R = 20 .

Hence,

• Length of the rectangle is = 3R - 5 = 3(20)-5 = 60-5 = 55cm.
• Breath of the rectangle is = R = 20cm.