Question

the length of a rectangular field is thrice it's breadth and it's perimeter is 240 m the length of the ield is choose the correct options 1. 30 m 2. 60 m 3.90 m which is the correct answer
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Answer 1

Correct Question:

The length of a rectangular field is thrice it's breadth and it's perimeter is 240m. The length of the field is _____

Choose the correct options.

1. 30m
2. 60m
3. 90m

Answer:-

• The length of the field is 90m. [Option. 3.] is correct.

Step-by-step explanation:

To Find :-

• The length of rectangular field

Solution:

Given that,

• The length of the rectangular field is thrice it's breadth
• Perimeter of the field = 240m

Assumption: Let us assume the breadth as "x" and the length as "3x",

As we know that,

Perimeter of rectangle = 2 ( l + b ),

Where,

• l = Length
• b = Breadth

=> 2 ( l + b ) = Perimeter

=> 2 ( 3x + x ) = 240

=> 3x + x = 240/2

=> 3x + x = 120

=> 4x = 120

=> x = 120/4

=> x = 30

The value of x is 30. Now,

According the question,

• The length of the field :-

We assumed the length of the field as "3x", So,

=> 3x

=> (3)(x)

=> 3*30

=> 90m

Hence, The length of the rectangular field is 90m. [ Option. 3. ].

Answer 2

Correct Question :-

• The length of a rectangular field is thrice it's breadth and it's perimeter is 240m. The length of the field is _____

Choose the correct options.

1. 30m
2. 60m
3. 90m

Given :-

• Perimeter of the field = 240m
• The length of the rectangular field is thrice it's breadth

To Find :-

• The length of rectangular field

Solution :-

❏ It is given that the length of the rectangular field is thrice it's breadth, thus

⟾ Let the Breadth be x m

⟾ Then the Length be 3x m

Putting the Values :

➞ Perimeter = 2( Length + Breadth )

➞ 240 = 2( 3x + x )

➞ 240 = 2 × 4x

➞ 240 = 8x

➞ 240 / 8 = x

➞ 30m = x

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Therefore :

• Length of Rectangle = 3x = 3 × 30 = 90m

Hence, 90m is the correct answer I.e [ option 3 ]

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