Question

SWIMMING POOLS The Minnitte family and the neighboring Gaudet family both have in-ground swimming pools. The Minnitte family pool, PQRS, measures 48 feet by 84 feet. The Gaudet family pool, WXYZ, measures 40 feet by 70 feet. Are the two pools similar? If so, write the similarity statement and scale factor.

Answer 1

The Minnitte family pool, PQRS, measures 48 feet by 84 feet

48 : 84 = 4 : 7

The Gaudet family pool, WXYZ, measures 40 feet by 70 feet

40 : 70 = 4 : 7

The two pools are similar

The similarity statements :

PQ/WX = QR/XY = RS/YZ = PS/WZ

Scale factor:

48/40 = 6/5

84/70 = 6/5

So

SF = 6/5