We were told that
Traingle CDE is similar to triangle WXY. This means that the corresponding sides of the triangles have a common ration and this ratio is equal to the scale factor. The given scale factor is 4:3. This is same as 4/3
We would compare corresponding sides of the triangle. We have
CD/WX = 13/WX = 4/3
By crossmultiplying, we have
4WX = 13 x 3
4WX = 39
WX = 39/4
WX = 9.75
DE/XY = = 29/XY = 4/3
By crossmultiplying, we have
4XY = 29 x 3 = 87
XY = 87/4
XY = 21.75
CE/WY = 22/WY = 4/3
By crossmultiplying, we have
4WY = 22 x 3 = 66
WY = 66/4
WY = 16.5
The perimeter of a traingle is the sum of the length of each side
Perimeter of triangle WXY = 9.75 + 21.75 + 16.5 = 48