Anjali wants to renovate her hall room which is rectangular in shape with dimensions
6m x 5m. (Picture given)
Are these tiles congruent? Which congruence condition they hold? Identify any two congruence shapes from your structure model.
Find the number of triangular tiles required for the entire room, if the base and height of each tile is 60cm and 50 cm respectively.
If a 2m diameter carpet is placed at the center of the hall, how much area is left uncarpeted?
Find the ratio of area of a triangular tile to area of the carpet placed at the center of the hall.
Answers
Answer:
It is congruent. It has a corresponding angle. Two rectangles and Two polygons are congruence shapes.
It can fit 100 triangular tiles.
23.7168 is the area left uncarpeted.
Step-by-step explanation:
Sorry,I was also looking for this queastion's 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 uncarpeted
ratio 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 congruence
base and height of each tile is 60cm and 50 cm respectively.
=> area of one tile = (1/2) * 60 * 50 = 1500 cm²
hall room rectangular in shape with dimensions 6m x 5m.
1 m = 100 cm
6 m = 600 cm
5 m = 500 cm
Hall Area = 600 x 500 = 300000 cm²
Number of tiles required = 300000 / 1500 = 200
2m diameter carpet is placed at the center of the hall,
Radius = 1 m = 100 cm
Area of circle = πr²
Area of carpet = 3.14 * 100² = 31400 cm²
= 3.14 m²
area is left uncarpeted = 300000 - 31400
= 2,68,600 cm²
= 26.68 m²
ratio 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
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