Question

the length of a rectangular field is 8 meters less than twice its breadth if the perimeter of the rectangular field is 56 meters find its length and breadth
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Answer 1

Answer:

Length = 16m

Breadth = 12m

Step-by-step explanation:

Let the breadth of the rectangular field be 'x'. Given, length = 2x - 8.

Since perimeter of a rectangle = 2(l + b), i.e. 2[x +(2x-8)] = 56 (given).

Therefore, 2(3x - 8) = 56. Implies 3x - 8 = 56/2 = 28. So, 3x = 36.

Thus, x = 12.

Therefore, the length and breadth of the field are 16 and 12 metres respectively.

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