SOLUTION: Mang Juan owns a rectangular lot. The perimeter of the lot is 90 m and its area is 450 m^2. What are the dimensions of the rectangular lot.

Question 887008: Mang Juan owns a rectangular lot. The perimeter of the lot is 90 m and its area is 450 m^2. What are the dimensions of the rectangular lot.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Another one much like this was asked not too long ago (today). Try this instead.

x and y are rectangle dimensions. Assume they are unknown but perimeter p and area A are known as given.

Find x and y.
and .
Maybe p is an even number, and maybe it is not.

and substituting into A,

, and in practice not doing everything purely symbolically, maybe this is factorable
and maybe it is not factorable. Continuing, using the general solution for a quadratic equation

.
One of these will makes sense and the other will not. Use the meaningful one.
Now just use the found x value to get the y value which corresponds.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

See problem # 886855
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