is the perimeter 195

Question

Given ΔVXY and ΔVWZ, what is the perimeter of the trapezoid WXYZ? Round your answer to the nearest hundredth.

Answer 1

Triangles are similar.

WX/VW = ZY/VZ

ZY, VZ and WX can be determined from the diagram, so we can compute WX

We know two sides of right triangle VWZ so we can use Pythagorean Theorem to compute WZ.

We can compute VX and we know VY so we can use Pythagorean Theorem to compute XY.

Now we can add up all 4 sides of trapezoid to compute perimeter.

Answer 2

WZV ~ XYV

Set up proportions and label all sides.

Then calcualte perimeter.