Question

The perimeter of rectangle is 10cm The lenth of rectangle is more than triple it's breath by 4 .find the lenth and breadth

Answer 1

Solution :-

→ Perimeter of triangle = 10 cm

Let's :-

• Breadth of rectangle = x

• Length of rectangle = 3x + 4

★ Perimeter of rectangle = 2 ( L + B )

⇒ 2 ( 3x + 4 + x ) = 10

⇒ 2 ( 4x + 4 ) = 10

⇒ 8x + 8 = 10

⇒ 8x = 10 - 8

⇒ 8x = 2

⇒ x = 2/8

⇒ x = 0.25

Breadth = 0.25 cm

Length = 3(0.25) + 4 = 4.75 cm

Answer 2

$\sf\Large{\underbrace{\red{Answer \implies L = 4.75\:cm\: and\: B = 0.25\:cm}}}$

$\sf\large{\underline{\underline{Given:}}}$

$\sf{The\:length\:of\:the\:rectangle\:is\:more}$$\sf{than\:triple\:it's\:breadth\:by\:4....So,}$

$\sf\large{\underline{\underline{Let:}}}$

$\sf{Breadth\:of\:rectanlgle\: = "x"}$

$\sf{So, Length\:of\:rectangle = (3x + 4)}$

$\sf\large{\underline{\underline{SolUTiON:}}}$

$\sf{\underline{\underline{Given:}}}$

$\sf{ Perimeter\: of\:rectangle = 10\:cm}$

$\sf{\underline{\underline{We\:know\:that:}}}$

$\sf{\red{Perimeter = 2 (Length + Breadth)}}$

$\sf{\underline{\underline{So,}}}$

$\sf{\red{\implies Perimerer\:of\:Rectangle = 2( 3x + 4 + x)}}$

$\sf{\purple{\implies 10\:cm = 2( 4x + 4)}}$

$\sf{\orange{\implies 10\:cm = 8x + 8}}$

$\sf{\green{\implies 10 - 8 = 8x}}$

$\sf{\red{\implies \dfrac{2}{8} = x}}$

$\sf{\purple{\implies \dfrac{1}{4} = x}}$

$\sf{\orange{\implies 0.25\:cm = x}}$

$\sf\large{\underline{\underline{Hence:}}}$

$\sf{\red{ \: \: \: Breadth = x = 0.25\:cm}}$

$\sf{\red {\therefore{Length = (3x + 4 )= (3\times 0.25 + 4 )= (0.75 + 4) = 4.75\:cm}}}$