SOLUTION: The owner of the Rancho Los Feliz has 9000 yd of fencing with which to enclose a rectangular piece of grazing land along the straight portion of a river. Fencing is not required a

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Question 1201029: The owner of the Rancho Los Feliz has 9000 yd of fencing with which to enclose a rectangular piece of grazing land along the straight portion of a river. Fencing is not required along the river, and the length of the fencing parallel to the river is to exceed the length of the fencing perpendicular to it by 4500 yd. Find the area of the enclosed land (in sq yd).
Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel to the river, x+4500
Each of the two sides perpendicular to the river, x

Amount of fencing to use, 2x%2Bx%2B4500=3x%2B4500.

Owner wants to use ALL of the available fencing material?
3x%2B4500=9000
and you can continue and finish.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
a = lengh
b = width
a + 2b = 9000
a = b + 4500
replace a with b + 4500 to get:
b + 4500 + 2b = 9000
combine like terms and subtract 4500 from both sides of the equation to get:
3b = 4500
solve for b to get b = 1500
since a = b + 4500, then a = 6000
a + 2b becomes 6000 + 3000 = 9000
a is the length = 6000
b is the width = 1500
the area of the enclosed space is a * b = 6000 * 1500 = 9,000,000 square yards.