ΔPQR is similar to ΔUVW. Perimeter of ΔPQR and ΔUVW are 120 cm and 240 cm respectively. If PQ = 30 cm, then what is the length of UV?

45 cm 60 cm 75 cm 90 cm

60 cm

Using the concept = (perimeter of \(\Delta \)PQR)/(perimeter of \(\Delta \)UVW) = \(\frac{PQ}{UV}\) = \(\frac{120}{240}\) = \(\frac{30}{UV}\) = \(\frac{1}{2}\) = \(\frac{30}{UV}\) = UV = 60 Therefore UV is 60.