Math, asked by savageboieden, 3 months ago

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.

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Answers

Answered by akashanadhanya
0

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.

Answered by amitnrw
16

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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