Question

If triangle cde is similar to triangle wxy with a scale factor of 4:3, find the perimeter of triangle wxy. cd=13,de=29,ce=22

Answer 1

ΔCDE : ΔWXY
4 : 3

$\frac{CD}{WX}= \frac{4}{3}$ 
$\frac{13}{WX}= \frac{4}{3}$ 
4WX = 3 x 13
4WX = 39
WX = 9.75


$\frac{DE}{WY}= \frac{4}{3}$ 
$\frac{29}{XY}= \frac{4}{3}$
4XY = 3 x 29
4XY = 87
XY = 21.75

$\frac{CE}{WY}= \frac{4}{3}$ 
$\frac{22}{WY}= \frac{4}{3}$ 
4WY = 3 x 22
4WY = 66
WY = 16.5

Perimeter = 9.75 + 21.75 + 16.5
Perimeter = 48 units