Question

9. The length of a rectangular plot of land is twice its breadth. If the perimeter of the plot be 180
metres, then find its area​

Answer 1

Step-by-step explanation:

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Answer 2

$\bf{\underline{Given}}:-$

• The length of rectangular plot of land is twice its breadth

• If the perimeter of the plot be 180 m

To find :-

• Area of rectangular plot

Solution :-

Let the breadth of plot be x m

and its length be 2x metres

Now,

Perimeter = 2 (l + b)

⤇ Perimeter = 2 (2x + x)

⤇ perimeter = 2 × 3x

⤇ Perimeter = 6x

According to the question,

⤇6x = 180

⤇x = 180/6

⤇x = 30 m

Now,

we have,

• Breadth = x = 30 m

• Length = 2x = 2 × 30 = 60 m

Area of the plot = l × b

Area of the plot = 60 × 30

Area of the plot = 1800 m²