Judy planted vegetables on a piece of land. the land is in the right-angled triangular shape. given the longest side of the land is y metre. the other two sides of the land are 2x metre and (2x+6) metre respectively. he fenced the land with 72 metres of barbed wire. find the length, in metre , of each side of the land.

We know that the perimeter is 72 meters, so we have

Now we can use the pythagorean theorem: the sum of the squares of the legs is the square of the hypotenuse:

Expand the squares to get

Bring everything to the right hand side to get

Divide both sides by 8:

This equation has solutions

This solutions would yield the following side lengths:

Since we can't have negative side lengths, we can only accept the solution x=9.

In fact, you can check that 18,24,30 is a pythagorean triplet, i.e.

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.