Problema Solution

Find the perimeter of a triangle if one side is 11 inches, another side is 1/3 the perimeter, and the third side is one less than 1/4 the perimeter.

Answer provided by our tutors

Let P = the perimeter.

Let one other side = x long.

Let the other side = y long.

Then P = 11 + x + y.

One side, let's say side length x, meets the condition:

x = P/3 = (11 + x + y) / 3.

We have 2 equations:

P = 11 + x + y;

x = (11 + x + y) / 3.

There are 3 unknowns: x, y and P.

There are only 2 equations.

Hence, insufficient data to determine x or y; a third equation is required.

This can only be obtained from more data in the given Q.