SOLUTION: A rancher plans to use 340 yards of fencing for a corral and divide it into two parts with the fence parallel to the shorter sides of the corral. find the dimensions of the corral

Question 1154296: A rancher plans to use 340 yards of fencing for a corral and divide it into two parts with the fence parallel to the shorter sides of the corral. find the dimensions of the corral if its area is to be 4700 square yards. I used a previously answered questions and my answer still came up wrong

two answers i came up with 45.43967 & 101.8405
or 65.4858 & 71.7712
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
w width (usually the shorter dimension is "width").
L length (the longer dimensions is usually "length").

Total fencing
or

The area only depends on the entire rectangular region's width and length, so .

System to solve, in the two variables w and L would start as:
.
.
.
.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
A rancher plans to use yards of fencing for a corral and divide it into two parts with the fence parallel to the shorter sides of the corral.
=> it is a rectangle divided into two parts; so, if is the longer side and is the shorter side, you will have and whose sum is

find the dimensions of the corral if its area is to be square yards.

perimeter in this case would be:

....solve for

.........eq.1

The area:

......plug in desired area and substitute from eq.1
.....solve for

......use quadratic formula

exact solutions:
or

approximate solutions:
or

find
.........eq.1
or

approximate solutions:
or

so, you have:
and
and

check the perimeter:

round it

or

round it

check the area:

round it

round it

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