Slader two similar triangles have a pair of corresponding sides of length 12 meters and 8 meters. the larger triangle has a perimeter of 48 meters and an area of 180 square meters. find the perimeter p and area a of the smaller triangle.

We know that

[perimeter smaller triangle]=[scale factor]*[perimeter larger triangle]

[area smaller triangle]=[scale factor]²*[area larger triangle]

[scale factor]=8/12> 4/6> 2/3

therefore

[perimeter smaller triangle]=[2/3]*[48]> 32 m

[area smaller triangle]=[2/3]²*[180]> (4/9)*180---> 80 m²