We need to know about the perimeter of a rectangle to solve this problem.The length of the field is 131 yards and width is 46 yards.
The perimeter of a rectangle is the summation of it's length and breadth, the longer side of a rectangle is called length and the shorter side is called breadth. The perimeter of a rectangle is given by the formula 2(l+b) where l is the length of the rectangle and b is the breadth of the rectangle. In this question we have been told the perimeter of the rectangular field is 354 yards. The length of the field is 7 yards less than triple the width. Let the width of the field be x yard, then the length is
length=3x-7
Then perimeter in terms of x= 2(l+b)=2((3x-7)+x)=2(4x-7)=8x-14
8x-14=354
8x=368
x=46
Then breadth=46 yards
length =3x-7=138-7=131 yards
Therefore we found out the dimensions of the field to be, the length is 131 yards and breadth is 46 yards.
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