Question

the length of a rectangular plot is twice its breadth if the perimeter of a plot is 270 metre find its area ​

Answer 1

Step-by-step explanation:

Let the breadth be a metre.

Then length= 2a metre

Perimeter= 270

Perimeter of a rectangle= 2(length+breadth)

So,

2(2a+a) = 270

2 × 3a = 270

6a = 270

a = 270/6

a= 45

Thus,

Breadth= 45m

Length= (2×45)m = 90m

Now, Area of the rectangular plot is

(Length×Breadth) m^2

$(90 \times 45) {m}^{2} \\ 4050 {m}^{2}$

Answer 2

Answer:

Let the breadth of the rectangular plot be x

Then, the length will be 2x

Perimeter =270m

Since,

perimeter of a rectangle = 2*(length + breadth) 2*(2x+x) =270

4x + 2x=270

6x. =270

x. = 270÷6

x. = 45

Therefore, breadth=x=45m

And length=2x=2*45=90m

Now,

Area = l*b

=45*90

= 4050metre square

Step-by-step explanation:

Hope my answer helps you ☺️