A farmer has 900 yd of fencing to enclose a rectangular past

A farmer has 900 yd of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river, that side does not need to be fenced The sides of length a must be four times as long as side b Find he dimensions of the rectangular pasture. The length of side b is yd

Solution

Total available fencing = 900 yd

side of rectangular are \'a\' and \'b\'

given that

a = 4*b

total perimeter of field = a + a + b

Perimeter = 2a +b = 2*(4b) + b = 9b

Now given that

9b = 900 yd

b = 100 yd

length a = 4*100 = 400 yd