SOLUTION: the area of a rectangular field is 94m^2. its perimeter is 38 meters. find the dimension of the field.

Question 898964: the area of a rectangular field is 94m^2. its perimeter is 38 meters. find the dimension of the field.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Try solving this in general.
A for area, p for perimeter.
Dimensions x and y.

Rectangle.
and .
Assume A and p are known.

------substitute this into the area equation.
-

and multiply both members by -1.

which, if you substitute for the values of p and A now, you might find that the
quadratic expression is factorable; but you do not always have this condition.

You most likely want the PLUS square root form;

Use the area equation to solve for y.

You can substitute for A and p early and avoid pure symbolic form, but if the quadratic expression is
not factorable, the solution in pure symbolic form will work for all problems of this general kind.

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