Question

the area of a rectangular field whose length is twice its breadth is 2450 square metre find the perimeter of field​

Answer 1

Let the Breadth of Rectangle = x

Let the Length of Rectangle = 2x

According to question :

Length × Breadth = Area

x × 2x = 2450

2x² = 2450

x² = 2450 / 2

x² = 1225

x = √1225

x = 35

Breadth of Rectangle = 35 cm

Length of Rectangle = 2x = 2(35) = 70 cm

Perimeter = 2(l + b)

= 2(70 + 35)

= 2 × 105

= 210 cm

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Answer 2

$\bf{\underline{\underline \blue{Solution:-}}}$

AnswEr:

• The perimeter of rectangular field = 210 m

Given:

• The area of a rectangular field whose length is twice its breadth is 2450 square metre.

Need To Find:

• The perimeter of rectangular field = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

$\dag$Let,

The breadth be x.

And Length be 2x.

Formula used here:

$\bigstar \: \boxed{ \sf \: Area\:of\: rectangle = Length \times Breadth}$

Putting the values according to the given formula:

$\longrightarrow \sf {2450 = x \times 2x}$

$\longrightarrow \sf {2450 = 2x^2}$

$\longrightarrow \sf {\frac{2450}{2} = x^2}$

$\longrightarrow \sf {1225 = x^2}$

$\longrightarrow \sf { \sqrt{1225} = x}$

$\longrightarrow \sf {x = 35}$

ThereFore:

• Breadth = x = 35 m
• Length = 2x = 2 × 35 = 70 m

Now, Formula used here:

$\bigstar \: \boxed{ \sf \: Perimeter = 2(Length + Breadth)}$

Putting the values according to the given formula:

$\longrightarrow \sf {Perimeter = 2(70 + 35)}$

$\longrightarrow \sf {Perimeter = 2 \times 105}$

$\longrightarrow \sf {Perimeter = 210}$

ThereFore:

• The perimeter of rectangular field = 210 m

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