Question

The length of a rectangular plot of land is twice its breadth if the perimeter of the plot be 180meter then find its area

Answer 1

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Refer to the attachment ⤴

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Answer 2

✬ Area = 1800 m² ✬

Step-by-step explanation:

Given:

• Length of rectangular plot of land is twice the breadth.
• Perimeter of the plot is 180 m.

To Find:

• What is the measure of area of the rectangular plot ?

Solution: Let the breadth of rectangle be x m. Therefore Length = Twice the breadth

➯ Length = 2 $\times$ x

➯ Length = 2x m

As we know that :-

★ Perimeter of Rectangle = 2 ( Length + Breadth ) ★

A/q

• Perimeter = 180 m

$\implies{\rm }$ 180 = 2 (Length + Breadth)

$\implies{\rm }$ 180 = 2 ( 2x + x )

$\implies{\rm }$ 180 = 2 $\times$ 3x

$\implies{\rm }$ 180 = 6x

$\implies{\rm }$ 180/6 = x

$\implies{\rm }$ 30 = x

∴ Breadth = x = 30 m & Length = 2(30) = 60 m

Now,

★ Area of Rectangle = ( Length $\times$ Breadth ) ★

$\implies{\rm }$ Area = ( 60 $\times$ 30 ) m²

$\implies{\rm }$ Area = 1800 m²

Hence, the area of the rectangular plot of land is 1800 m².