Question

the area of a rectangular Garden is a 500 square metre and its length is a 5 metre more than its with find the length of the garden​

Answer 1

Answer:

The length is 25 m and breadth is 20 m.

Step-by-step explanation:

Solution :

Area or the rectangle = 500 m²

Length = 5 m more than breadth

Let the -

• Breadth be y
• Length be (5 + y)

★ Area =

⇒ Length × Breadth

⇒ 500 = y × (5 + y)

⇒ 500 = 5y + y²

⇒ 5y + y² - 500 = 0

⇒ y² + 5y - 500 = 0

⇒ y² - 20y + 25y - 500 = 0

⇒ y(y - 20) + 25(y - 20) = 0

⇒ (y - 20) (y + 25) = 0

⇒ y = - 25 or y = 20

⇒ y = 20

Breadth = 20 m

★ Length =

⇒ 5 + 20

⇒ 25

Length = 25 m

Therefore, the length is 25 m and breadth is 20 m.

Answer 2

$\sf Let \:us \;take \:width \: as\: x\:and \: length \: as\:(x+5)\:.\\\sf Area = 500 \:m^{2} \\\sf \Longrightarrow x(x+5) = 500\\\sf \Longrightarrow x^{2} +5x = 500\\\sf \Longrightarrow x^{2} +5x-500=0\\\sf \Longrightarrow x^{2} -20x+25x-500 = 0\\\sf \Longrightarrow x(x-20)+25(y-20) = 0\\\sf \Longrightarrow (x-20)(x+25)=0\\\sf \Longrightarrow x= 20 \: ,\: x= -25$

$\sf Length \: and \: width \; cannot \: be \: negative \: .$

$\sf BREADTH = 20 \: m\\\sf LENGTH = 25 \: m$

$\LARGE \sf \bf{HOPE\: IT \:HELPS\: U }$