Answer:Given : hall room rectangular in shape with dimensions 6m x 5m.base and height of each tile is 60cm and 50 cm respectively.2m diameter carpet is placed at the center of the hall,To Find : number of triangular tiles required for the entire room how much area is left uncarpetedratio of area of a triangular tile to area of the carpet placed at the center of the hall.Solution:Triangular tiles are congruent using SSS congruencebase and height of each tile is 60cm and 50 cm respectively.=> area of one tile = (1/2) * 60 * 50 = 1500 cm²hall room rectangular in shape with dimensions 6m x 5m.1 m = 100 cm6 m = 600 cm5 m = 500 cmHall Area = 600 x 500 = 300000 cm²Number of tiles required = 300000 / 1500 = 2002m diameter carpet is placed at the center of the hall,Radius = 1 m = 100 cmArea of circle = πr²Area of carpet = 3.14 * 100² = 31400 cm²= 3.14 m²area is left uncarpeted = 300000 - 31400= 2,68,600 cm²= 26.68 m²ratio of area of a triangular tile to area of the carpet placed at the center of the hall.= 30 : 3.14= 3000 : 314= 1500 : 157
