Question

The length of a rectangular field is twice its breadth. If the perimeter of the field be 96 m, find the dimensions of the field.​

Answer 1

Step-by-step explanation:

Let the breadth of the rectangle = 'x' metres.

According to the question,

Length of the rectangle = '2x' metres

Perimeter of a rectangle = 2 (length + breadth)

So,       2 (2x + x) = 228

           =>  2 (3x) = 228

            => 6x = 228

Dividing both sides by 6, we get

           =>                    

            => x = 38

So, the breadth of the rectangle = x = 38 metres, and the length of the rectangle  = 2x = 2(38) = 76 metres.

Answer 2

Let breadth be = x m

then length = 2x m

perimeter of the field is = 96 m

so perimeter formula is =2( L + B)

96 = 2(L+ B)

96 = 2( 2x + x )

96 = 2( 3x )

96 = 6x

96/6 = x

16 = x

So breadth is = 16m and

Length is = 32m

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