Question

Length of the hall is 10m more then it's breath if the perimetrevof the field is 100m the liner equation will be___and breath are ___ and ____ m

Answer 1

Given :-

• Length of hall = 10m more than its breadth
• Perimeter of hall = 100 m

To find :-

• Linear equation formed.
• Length & breadth of hall

Solution :-

Let the breadth of hall be b m & the length of hall be (b + 10) m

As we know,

◗ Perimeter of hall = 2(length + breadth)

Forming an equation :

⇒ 100 = 2(b + 10 + b) ----- Equation

⇒ 100 = 2(2b + 10)

⇒ 100/2 = 2b + 10

⇒ 50 = 2b + 10

⇒ 50 - 10 = 2b

⇒ 40 = 2b

⇒ 40/2 = b

⇒ b = 20

∴ Breadth of hall = 20 m

Now finding length of hall :

⇒ Length = b + 10

⇒ Length = 20 + 10

⇒ Length = 30

∴ Length of hall = 30 m

Therefore,

∴ Hence, length & breadth of hall are 30 m & 20 m respectively.

Answer 2

Answer:

Step-by-step explanation:

Solution :-

Let the breadth of hall be x m

And the length of hall be (x + 10) m.

Perimeter of Rectangle = 2(length + breadth)

According to the Question,

⇒ 100 = 2(x + 10 + x)

⇒ 100 = 2(2x + 10)

⇒ 100/2 = 2x + 10

⇒ 50 = 2x + 10

⇒ 50 - 10 = 2x

⇒ 2x = 40

⇒ x = 40/2

⇒ x = 20 m

Breadth = 20 m

Now, Length = x + 10 = 20 + 10 = 30 m

Hence, length & breadth of hall are 30 m and 20 m.