Math, asked by rajeevshreyas2847, 3 months ago

the perimeter of rectangle is 36 cm and its length is twice the breadth calculate the area

Answers

Answered by tanu0503
1

breadth=6cm

and length=12cm

Answered by EthicalElite
6

Given :

  • Perimeter of rectangle = 36 cm
  • Length of rectangle = 2 × Breadth of rectangle

To Find :

  • Area of rectangle = ?

Solution :

Let breadth of rectangle be "x"

Therefore, According to Statement :

 \sf : \implies length = 2 \times x

 \sf : \implies length = 2x

Now, we have :

  • Perimeter = 36 m

We have formula of perimeter of rectangle :

 \large \underline{\boxed{\bf{Perimeter_{(rectangle)} = 2(Length + Breadth)}}}

By filling values :

 \sf : \implies 36 \: m = 2(2x + x)

 \sf : \implies 36 \: m = 2 \times 3x

 \sf : \implies 36 \: m = 6x

 \sf : \implies x = \cancel{\dfrac{36}{6}} \: m

 \sf : \implies x = 6 \: m

 \large \underline{\boxed{\bf{x = 6 \: m}}}

So, we have value of "x"

Now,

  • length = 2x = 2 × 6 m = 12 m
  • breadth = x = 6 m

So, to find area, we have a formula :

 \large \underline{\boxed{\bf{Area_{(rectangle)} = Length \times Breadth}}}

 \sf : \implies Area_{(rectangle)} = 12 \: m \times 6 \: m

 \sf : \implies Area_{(rectangle)} = 72 \: m^{2}

 \large \underline{\boxed{\bf{Area_{(rectangle)} = 72 \: m^{2}}}}

Hence, area of rectangle is 72 m²

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