Question

The length of a rectangle is 6 m less than 3 times its breadth .If the perimeter is 148 m ,find its length and breadth.

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Answer 1

Step-by-step explanation:

given :

• length of a rectangle is 6 m

• 3 times its breadth

• perimeter is 148 m

to find :

• length and breadth = ?

formula of perimeter :

2× (l+B)

solution :

• first we will write the formula of perimeter

• perimeter of rectangle = 2× (l+ B )

• perimeter of rectangle = 2 × ( 54 +20)

• perimeter of rectangle = 2 × 74

• perimeter of rectangle = 148

rectangle length = 54 m

rectangle breadth = 20 m

Answer 2

Answer:

• Length = 54 m
• Breadth = 20 m

Step-by-step explanation:

Let the:

• Length of rectangle be l
• Breadth of rectangle be b.

According to the question,

l = 3b - 6 ⇢ (Equation 1)

Also,

Perimeter = 148

⇒ 2 (l + b) = 148

⇒ l + b = 148 ÷ 2

⇒ l + b = 74 ⇢ (Equation 2)

Substitute value of l from Equation 1:

⇒ (3b - 6) + b = 74

⇒ 4b - 6 = 74

⇒ 4b = 80

⇒ b = 80 ÷ 4

⇒ b = 20

Now substitute the value of b in Equation 1 to find length.

l = 3b - 6

➝ l = 3(20) - 6

➝ l = 60 - 6

➝ l = 54

∴ Length = 54 m and Breadth = 20 m.