Question

The perimeter of a rectangular field is 48m.if its length is 12 m more than the breadth ,find leangth and breadth of the rectunglar field.

Answer 1

Step-by-step explanation:

Let the breadth be = x metre

Then, length = x+12 metre

2(x+x+12) = 48

=>2(2x+12) = 48

=>4x+24 = 48

=>4x = 48-24

=>4x = 24

=>x = 24/4

=>x = 6 metre

Breadth = x = 6 metre

Length = x+12 = 18 metre

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Answer 2

Given:

• The perimeter of a rectangular field is 48m.

• length is 12 m more than the breadth.

To find out:

Find leangth and breadth of the rectunglar field.

Formula used:

Perimeter of rectangle = 2 ( length + breadth )

Solution:

Let the breadth be x.

Then, length = ( x + 12 ) m

According to the question,

Perimeter of rectangle = 2 ( length + breadth )

★ Substituting the values in the above formula,we get:

Perimeter of rectangle = 2 { ( x + 12 ) + ( x ) }

⇒ 48 = 2 { 2x + 12 }

⇒ 2x + 12 = 48/2

⇒ 2x + 12 = 24

⇒ 2x = 24 - 12

⇒ 2x = 12

⇒ x = 6 m

★ Breadth,b = x = 6 m

★ Length,l = x + 12 = 6 + 12 = 18 m