Question

Using similar triangles if KLM~ PQR with a scale factor of 3:5, find the perimeter of PQR (With work please)

Answer 1

Hi,


KLM = 12, 15, 6

PQR = (12 + 4 + 4), (15 + 5 + 5), (6 + 2 + 2)
PQR = 20, 25, 10

PQR Perimeter = 55

Hope this helps.
r3t40

Answer 2

Answer: 55 units

Step-by-step explanation:

Given: ΔKLM~ ΔPQR  with a scale factor of 3:5

⇒$\frac{sides\ of\ \triangle{KLM}}{sides\ of\ \triangle{PQR}}=\frac{3}{5}$

Also ΔKLM~ ΔPQR  and the corresponding sides of similar triangles are proportional therefore,

$\\\Rightarrow\frac{KL}{PQ}=\frac{LM}{QR}=\frac{KM}{PR}=\frac{3}{5}$

$\\\Rightarrow PQ=\frac{KL\times5}{3}=\frac{6\times5}{3}=10$

Similarly,

$QR=\frac{LM\times5}{3}=\frac{15\times5}{3}=25\\PR=\frac{KM\times5}{3}=\frac{12\times5}{3}=20$

Now, Perimeter of ΔPQR=$PQ+QR+PR=25+20+10=55\ units$