Question

the perimeter of a rectangular plot is 154 its one side is 2 metre more than twice its other side what are the lengths of two sides of the plot.

please answer my question fast and this is a maths question .​

Answer 1

Answer:

9m and 18m

Step-by-step explanation:

let the length of one side be x, then the other side will be 2x. we know that perimeter of rectangle=2(l+b)= 2(2x+x)=54m= 4x+2x=54=6x=54=x=54/6=9 then x=9 and 2x 2*9=18

Answer 2

Given :

• Perimeter of a rectangular plot = 153 m

• One of its side is 2 metre more than twice its other side.

To find :

• Length of the two sides of the plot

Concept :

To find the length of the two sides of the plot, firstly assume them as any variable according to the given conditions in the question. Then by using the formula of perimeter of rectangle we will get the value of the variable. Substitute it's value in the dimensions of the plot which we've let. The resultant values will be the required answer.

• Formula of perimeter of rectangle = 2(l + b)

where,

• l denotes the length of the rectangle

• b denotes the breadth of the rectangle

Solution :

Let,

• Length of the plot = x metre
• Breadth of the plot = 2x + 2 metre

Now, substitute these values in the formula of perimeter of rectangle :

⠀⠀⠀⇒ Perimeter = 2(l + b)

⠀⠀⠀⇒ 154 = 2(x + 2x + 2)

⠀⠀⠀⇒ 154 = 2(3x + 2)

⠀⠀⠀⇒ Transposing 2 to the left hand side :

⠀⠀⠀⇒ 154/2 = 3x + 2

⠀⠀⠀⇒ 77 = 3x + 2

⠀⠀⠀⇒ Transposing 2 to the left hand side and changing it sign :

⠀⠀⠀⇒ 77 - 2 = 3x

⠀⠀⠀⇒ 75 = 2x

⠀⠀⠀⇒ Transposing 3 to the left hand side :

⠀⠀⠀⇒ 75/3 = x

⠀⠀⠀⇒ 25 = x

The value of x = 25 metre

Substitute the value of x in the dimensions of the rectangular plot :

Length of the rectanglular plot :

⠀⠀⠀⇒ Length = x = 25

Length of the rectangular plot = 25 m

Breadth of the rectangular plot :

⠀⠀⠀⇒ Breadth = 2x + 2

⠀⠀⠀⇒ Breadth = 2(25) + 2

⠀⠀⠀⇒ Breadth = 50 + 2

⠀⠀⠀⇒ Breadth = 52

Breadth of the rectangular plot = 52 m

Therefore,

• The length of the other two sides of the plot = 25 m and 52 m

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VERIFICATION :

To verify the value of the dimensions of the rectangular plot, find the perimeter of the plot if it will be equal to 154 m (as mentioned in the question) then the value of the other two sides of the plot is right.

⠀⠀⠀⇒ Perimeter of plot = 2(l + b)

⠀⠀⠀⇒ Perimeter of plot = 2(25 + 52)

⠀⠀⠀⇒ Perimeter of plot = 2(77)

⠀⠀⠀⇒ Perimeter of plot = 154

Perimeter of the rectangular plot = 154 m

Hence, verified.