Question

A farmer has 1050 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 three times as long as side b. Find the dimensions of the rectangular pasture.

Answer 1

Answer:

Dimensions:

a = 630 yd

b = 210 yd

A = 132.300 yd²

Step-by-step explanation:

Dimensions of rectangular pasture

a and b   and  a = 3*b   a is opposite side at the river, therefore

Area of rectangular pasture

A = a * b     and perimeter of rectangular area ( with fencing material ) is

P = a + 2b     or    P  = 3*b + 2*b    ⇒  1050 = 5*b

b  = 1050 / 5    ⇒  b  =  210 yd

And as    a  = 3*b     ⇒   a =  3*210    ⇒ a =  630 yd

And the area is   A  =  630*210  =  132.300 yd²