If two figures are similar by a scale factor, then the perimeter of one figure is equal to the perimeter of the other figure multiplied by the scale factor.
First, let's assign labels to the vertices of the given triangles.
Since â–³ MNO and â–³ QRS are similar, the perimeter of â–³ QRS is equal to the perimeter of â–³ MNO multiplied by the scale factor. Therefore, to find the unknown perimeter we first need to find the scale factor which is the quotient of the two corresponding side lengths.
Scale Factor [0.5em]
RS/NO substitute ⟶ 18/12= 3/2
Finally, the perimeter of â–³ QRS is equal to 38 times 32.
