Since Y is the right angle of the triangle LNT, LT is the hypotenuse of that triangle. We are going to use the Pythagorean equation to find the measure of LT:
We can infer from our picture that triangles LNT and YNT are similar. And remember that in similar triangles <span>the corresponding sides are proportional, so we can establish a proportion between sides LT and NT, and between sides LY and TY:
</span>
<span>Solving for NT:
</span>
<span>
Now the perimeter of our rectangle LINT will be 2LT + 2NT.
</span>
<span>
</span><span>
We can conclude that the perimeter of the rectangle LINT is 22.76 units</span><span>
</span>
We can infer from our picture that triangles LNT and YNT are similar. And remember that in similar triangles <span>the corresponding sides are proportional, so we can establish a proportion between sides LT and NT, and between sides LY and TY:
</span>
<span>Solving for NT:
</span>
<span>
Now the perimeter of our rectangle LINT will be 2LT + 2NT.
</span>
</span><span>
We can conclude that the perimeter of the rectangle LINT is 22.76 units</span><span>
</span>