Question

A farmer has 1225 yd of fencing to enclose a rectangular pasture for her goats. Since one side of the pastureborders a river, that side does not need to be fenced. The sides of length a must be three times as long as side b.Find the dimensions of the rectangular pasture.

Answer 1

Given

Perimeter = 1225

Length is three times the breadth.

Find

Dimensions of rectangulatr pasture.

Explanation

Let breadth = x yd

so , length = 3x yd

Since one side of the pasture borders a river, that side does not need to be fenced. so ,. Perimeter of rectangle is given by =length + 2Breadth

So ,

$\begin{gathered} 1225=3x+2x \\ 1225=5x \\ 245=x \\ \end{gathered}$

so , length = 3x = 245 *3= 735

Final Answer

Therefore , the dimensions of rectangular pasture is

length = 735 yds and breadth = 245 yds