Question

the length of the rectangular plot of land twice it's breath if the perimeter of a plot be 180 meter, then it's area is??​

Answer 1

Answer:

length = x,

breadth = y

perimeter = 180m

x = 2y ....... (1.)

Therefore,

2( x + y ) = 180 ........ (2.)

then put (1) in (2)

2 ( 2y + y ) = 180

Solve the equation

2(3y) = 180

6y = 180

y = 180/6

y = 30

thus, x = 2y

x = 2× 30

x = 60

Now, Area 9f rectangular plot = length× breadth

= x × y

= 60 × 30 m

= 1800m².

Answer 2

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✤ Required Answer:

✒️ GiveN:

• Length of the rectangle is twice it's breadth.
• Perimeter of the rectangle = 180 m

✒️ To FinD:

• Area of the rectangle.....?

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✤ How to solve?

We can solve this question by using the perimeter and area of the rectangle formula that is,

• Perimeter of the rectangle ➙ 2(l + b)
• Area of the rectangle ➙ l×b

Here,

• l = length
• b = breadth$.$

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✤ Solution:

We have,

• Length = 2(Breadth)

Let,

• Breadth of the rectangle be x, then length would be 2x.

We have, Perimeter

➝ 2(2x + x) = 180 m

➝ 2(3x) = 180 m

➝ 6x = 180 m

➝ x = 180/6 m = 30 m

Then,

• Length of the rectangle = 2 × 30 m = 60 m
• Breadth of the rectangle = 30 m

Finding the area,

➝ l × b

➝ 60 m × 30 m

➝ 1800 m²

✍️ Area of the rectangle = 1800 m²

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