Question

the length of the rectangular plot is thrice its breadth if the perimeter of the plat is 144mgind its length and breadth​

Answer 1

Answer:

The length of the plot is 54 m and breadth of the plot is 18 m.

Step-by-step-explanation:

Let the length of the plot be l and breadth be b.

We have given that,

Length of a rectangular plot is thrice its breadth.

∴ l = 3b - - ( 1 )

Perimeter of the plot is 144 m.

We know that,

Perimeter of rectangle = 2 ( l + b )

⇒ 144 = 2 ( 3b + b ) - - [ From ( 1 ) ]

⇒ 144 = 2 * 4b

⇒ 4b = 144 ÷ 2

⇒ 4b = 72

⇒ b = 72 ÷ 4

⇒ b = 18 m

Now, by substituting b = 18 in equation ( 1 ), we get,

l = 3b - - ( 1 )

⇒ l = 3 * 18

⇒ l = 54 m

∴ The length of the plot is 54 m and breadth of the plot is 18 m.

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Additional Information:

1. Linear Equations in two variables:

The equation with the highest index ( degree ) 1 is called as linear equation. If the equation has two different variables, it iscalled as 'linear equation in two variables'.

The general form of linear equations in two variables is ax + by + c = 0.

Where, a, b & c are real numbers and a ≠ 0, b ≠ 0.

2. Solution of a linear equation:

The value of the given variable in the given linear equation is called the solution of the linear equation.

3. Steps to solve word problems based on linear equations in two variables:

1. Underatsnd the information given in the problem.

2. Identify the given quantities and what to find.

3. Convert the words into symbols by using variables ( x, y, a, b ).

4. Solve the equations formed step-by-step.

5. Write the value of variables ( solution of equation ) in words ( as per the question ).

Answer 2

AnswEr :-

• Length of the rectangle = 54m
• Breadth of the rectangle = 18m

Given :-

• The length of the rectangular plot is thrice its breadth and perimeter of the plot is 144,

To Find :-

• Length and breadth of the rectangle.

SoluTion :-

Let

• Breadth of the rectangle be x
• Length of the rectangle be 3x

Length of the rectangle is thrice its breadth.

Perimeter of the rectangle is 144m.

Formula for finding the perimeter of the rectangle is :-

• 2 (l + b)

Where,

• l = length
• b = breadth

According to question :-

2 (3x + x) = 144

→ 6x + 2x = 144

→ 8x = 144

→ x = 144/8

→ x = 18

Now,

• Breadth of the rectangle, x = 18m
• Length of the rectangle, 3x = 3 × 18 = 54m

Hence, length and breadth of the rectangle are 18m and 54m respectively.

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