Question

The length of a rectangular plot of land is twice its breadth. If the perimeter of the plot be 210m , Find its area ?


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Answer 1

$\bf\huge\textbf{\underline{\underline{According\:to\:the\:Question}}}$

Suppose the breadth of plot be p metre

Length = 2p

Perimeter of Rectangle = 2 × (l + b)

= 2 × (2p + p)

= 2 × 3p

= 6p

Now  

6p = 210

${\implies p = \dfrac{210}{6}}$          

p = 35

Hence Breadth = 35

Length = 2 × 35  

$\bf\huge\bf\huge{\boxed{\bigstar{{70m}}}}$          

Area of plot

Length × Breadth

= 70 × 35

$\bf\huge\bf\huge{\boxed{\bigstar{{2450\:m^2}}}}$          

Answer 2

$<b>{heya here is your answer mate!$

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$<b><u>Let the breadth of th3 garden be x metre .$

Then, its length = 2x metres.

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PERIMETER OF RECTANGLE=2(LENGTH + BREADTH )

=> 210=2(2x + x)

=> 210=2*3x

=> 210=6x

=> x=210/6

=> x=35 metres.

Since,breadth=x= 35 metres.

Therefore, length=2x= (2*35)metres

= 70 metres.

▄︻̷̿┻̿═━一▄︻̷̿┻̿═━一▄︻̷̿┻̿═━一

Now, area = length * breadth

= (70 * 35) metre square

= 2450 metre square

$\boxed{area\:of\:rectangle=2450 metre\:square.}$