Question

the lenght of a rectanglar plot of land is twice its breadth. if the premeter of the plot be 300 m,find its area​

Answer 1

Correct question:

The length of a rectanglar plot of land is twice its breadth. If the perimeter of the plot is 300m, find its area.

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Given:

• Perimeter of the rectangular plot = 300m
• The length is twice its breadth.

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To find:

Area of the rectangular plot.

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Solution:

$\bigstar {\sf {\blue {Let\ the\ breadth\ be\ b.}}}$

$\bigstar {\sf {\blue {Let\ the\ length\ be\ 2b.}}}$

Given that perimeter is 300m.

So,

Perimeter of rectangular plot = 2(l+b)

On substituting the values in the formula,

300 = 2(2b+b)

300 = 2×3b

300 = 6b

$\sf\dfrac{300}{6} = b$

$\boxed {\bf {\pink {50=b}}}$

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Verification:

On substituting the value of b as 50 in the formula,

Perimeter = 2(2b+b)

300 = 2(2×50+50)

300 = 2(100+50)

300 = 2×150

300 = 300

LHS = RHS

Hence Verified!

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Now,

• Breadth = b

= 50m

• Length = 2b

= 2×50

= 100m

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Area:

Area of the rectangular plot = l×b

Area = 100×50

$\boxed {\bf {\red {Area = 5000m^{2}}}}$

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Final answer:

$\boxed {\sf {\orange {Area\ of\ the\ rectangular\ plot\ is\ 5000m^{2}}}}$

Answer 2

$\huge \fbox \red{Answer}$

Given :-

• Perimeter of plot = 300 m

• Length is twice more than its breadth

To find :-

• Length of Rectangular plot

• Breadth of Rectangular plot

• Area of Plot

Solution :-

Let us assume ,

• Breadth of plot be x meter

• While length of plot be used 2x meter

By using formula of Perimeter of rectangle:

Perimeter = 2 ( l+b )

⇒2 ( x+2x ) = 300

⇒2 ( 3x ) = 300

⇒6x = 300

$⇒x = \frac{300}{6} = 50$

Now,

We have to find area

We know that,

⇒Area of Rectangle = l × b

⇒( x ) × ( 2x )

$⇒2 {x}^{2}$

$⇒2 \times 50 \times 50$

$⇒2 \times 2500$

$⇒5000 \: {m}^{2}$