SOLUTION: Construct a table using at least five points on the graph of the equation x - 2y = 12 and Solve the following problem; 120 yards of fencing is available to fence a triangular lot.

SOLUTION: Construct a table using at least five points on the graph of the equation x - 2y = 12 and Solve the following problem; 120 yards of fencing is available to fence a triangular lot.

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Question 201303: Construct a table using at least five points on the graph of the equation x - 2y = 12 and Solve the following problem; 120 yards of fencing is available to fence a triangular lot. If the triangular lot is a right triangle, and the length of one leg is x and the hypotenuse is 50 yards, find an expression for the area, A of the triangle as a function of x. Express your answer as a simplified quadratic expression.
The area of a triangle is given by 1/2base x height, => Area = �b x h
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

For your first problem, just choose 5 different values for

then substitute them one at a time for

in the equation and calculate the value of

that results.

If you have 120 yards of fencing available, then the perimeter of your triangular area must be 120 yards. One leg is

and the hypotenuse is 50, so the length of the other leg is

. Since it is a right triangle, either leg qualifies as a base of the triangle and then the other leg is the height, so:

All you have to do now is simplify it.

John

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