Question

The length of rectangle is 2 cm more than twice its breadth. Perimeter of the rectangle is 82 cm. Find its length and breadth. *
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Answer 1

Answer:

Breadth = 4 cm

Length = 10 cm

Step-by-step explanation:

$\red{\underline{Question:-}}$

The length of rectangle is 2 cm more than twice its breadth. Perimeter of the rectangle is 28 cm. Find its length and breadth?

$\red{\underline{Solution:-}}$

length of a rectangle is 2cm more than twice its breadth

Let say Breadth = B cm

Length = 2B + 2   cm

$\underline{\boxed{Perimeter\:of\:rectangle=2(length\times breadth)}}$

$\Rightarrow perimeter=2(2B+2+B)$

$\Rightarrow perimeter=2(3B+2)$

$\Rightarrow perimeter=6B+4$

Perimeter of the rectangle is 28 cm

$\Rightarrow 6B+4 = 28$

$\Rightarrow 6B=24$

$\Rightarrow B = \frac{24}{6}$

$\Rightarrow B = 4$

$Length = 2B + 2 = 2 \times4 + 2 = 10$

$Breadth = 4 cm$

$Length = 10 cm$

$\red{\boxed{Length = 10cm \:,\:Breadth=4cm}}$