Question

The perimeter of a rectangualr park is 200 m . If it's length is 10 m more than twice it's breath , what the length and breadth of the park ?

Answer 1

Given:-

• The perimeter of a rectangualr park is 200 m .

• Length is 10 m more than twice it's breadth.

To find out:-

Find the length and breadth of the park ?

Formula used:-

Perimeter of rectangle = 2 ( length + breadth )

Solution:-

We have,

Perimeter, P = 200 m

Let the breadth be x.

Then,Length = 2x + 10 m

According to the question

Perimeter of rectangle = 2 ( length + breadth )

★ putting the values, we get:

⇒ 200 = 2 ( 2x + 10 + x )

⇒ 200 = 2 ( 3x + 10 )

⇒ 200 = 6x + 20

⇒ 6x = 200 - 20

⇒ 6x = 180

⇒ x = 180/6

⇒ x = 30 m

Now,

Breadth = x = 30 m

Breadth = x = 30 mLength = ( 2x + 10 ) m = ( 2 × 30 + 10 ) m = ( 60 + 10 ) m = 70 m

Answer 2

${ \huge{ \bold{ \underline{ \underline{ \pink{Question:-}}}}}}$

The perimeter of a rectangular park is 200 m . If it's length is 10 m more than twice it's breath , what the length and breadth of the park ?

_______________

${ \huge{ \bold{ \underline{ \underline{ \orange{Answer:-}}}}}}$

✒Given : -

• Length of Rectangular Park = 10m
• Perimeter of Rectangular Park = 200m

✒To Find : -

• Length and Breadth of Rectangular Park = ?

✒Formula Used : -

$\leadsto\sf{{ \small{ \bold{ \bold{ \bold{ \red{Perimeter\:of\:Rectangle=2(l+b)}}}}}}}$

✒Now ,

✒Calculating : -

• Let the Breadth = x
• Then,Length will be = 2x + 10

${ \large{ \bold{ \underline{ \underline{ \purple{According\:to\:the\:Question:-}}}}}}$

$\dashrightarrow\sf{200=2(2x+10+x)}$

$\dashrightarrow\sf{200=2(3x+10)}$

$\dashrightarrow\sf{200=(6x+20)}$

$\dashrightarrow\sf{6x=200-20}$

$\dashrightarrow\sf{6x=180}$

$\dashrightarrow\sf{x=\cancel\dfrac{180}{6}}$

$\leadsto\sf{{ \large{ \boxed{ \bold{ \bold{ \green{x=30m}}}}}}}$

✒So ,

$\dashrightarrow\sf{Breadth\:of\:Rectangular\:Park=x}$

$\dashrightarrow\sf\bold{30m}$

$\dashrightarrow\sf{Length\:of\:Rectangular\:Park=2(x)+10}$

$\dashrightarrow\sf{2(30)+10}$

$\dashrightarrow\sf{60+10}$

$\dashrightarrow\sf\bold{70m}$