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For an isosceles triangle, the line of symmetry can also be referred to as the "axis of symmetry." This line divides the triangle into two mirror-image parts, running from the apex (the vertex opposite the base) to the midpoint of the base.

Shapes with no line of symmetry do not divide into two mirror-image halves, regardless of how you try to fold or bisect them. Here are three examples:

1. Scalene Triangle: A triangle with all sides of different lengths and all angles of different sizes has no line of symmetry because there is no way to divide it into two parts that are mirror images of each other.

2. Irregular Polygon: An irregular polygon, which does not have equal-length sides or equal angles, typically has no line of symmetry. An example would be a five-sided polygon where no two sides or angles are the same.

3. Parallelogram (excluding rectangles and rhombuses): A general parallelogram (which is not a rectangle or rhombus) has no lines of symmetry. Its opposite sides are equal in length, and opposite angles are equal, but it does not fold into two parts that are mirror images of each other unless it is a special type like a rectangle or rhombus, which do have lines of symmetry.

These shapes illustrate that symmetry is not a universal characteristic of all geometric figures.

So, the area of the square is 272.25 square meters.

So, the area of the rectangular field is approximately 6.18 acres.

First, let's find the perimeter of the rectangle, which is equal to the length of the wire:

Perimeter of the rectangle = 2 * (length + breadth) = 2 * (40 cm + 22 cm) = 2 * 62 cm = 124 cm

Since the wire is bent to form a square, the perimeter of the square will also be 124 cm.

Now, let's find the measure of each side of the square:

Perimeter of the square = 4 * side

So, 4 * side = 124 cm

Dividing both sides by 4:

side = 124 cm / 4 = 31 cm

Each side of the square will measure 31 cm.

Now, let's find the area enclosed by each shape:

Area of the rectangle = length * breadth = 40 cm * 22 cm = 880 cm²

Area of the square = side * side = 31 cm * 31 cm = 961 cm²

Comparing the two areas, we find that the square encloses more area than the rectangle.

First, let's find the area of one tile:

Area of one tile = Length × Width = 22 cm × 10 cm = 220 cm²

Now, we need to convert the area of one tile from square centimeters to square meters since the room dimensions are given in meters.

1 square meter = 10,000 square centimeters

So, 220 cm² = 220 / 10,000 m² = 0.022 m²

Next, let's find the area of the room:

Area of the room = Length × Width = 9.68 m × 6.2 m = 59.936 m² (approximately)

Now, let's find how many tiles are needed to cover the floor of the room:

Number of tiles = Area of the room / Area of one tile = 59.936 m² / 0.022 m² ≈ 2724 tiles

Now, let's find the total cost of the tiles at the rate of Rs 2.50 per tile:

Total cost = Number of tiles × Cost per tile = 2724 tiles × Rs 2.50 per tile = Rs 6810

So, the total cost of the tiles will be Rs 6810.

To find the area of the square field, we need to square the length of one side:

Area of the square field = (Side length)² = 179 m × 179 m = 32041 m²

Now, let's find the cost of raising a lawn on the field at the rate of Rs 1.50 per square meter:

Cost = Area of the field × Rate per square meter = 32041 m² × Rs 1.50/m² = Rs 48061.50

So, the cost of raising a lawn on the field will be Rs 48061.50.

First, let's find the distance around the field, which is the perimeter of the rectangle:

Perimeter of the rectangle = 2 × (Length + Width) = 2 × (290 m + 210 m) = 2 × 500 m = 1000 m

Now, let's find the time it takes for the girl to go two times around the field:

Distance covered = 2 × Perimeter of the field = 2 × 1000 m = 2000 m

Given that the girl walks at the rate of 1.5 m/sec, we can use the formula:

Time = Distance / Speed

Time = 2000 m / 1.5 m/sec ≈ 1333.33 sec

So, it will take approximately 1333.33 seconds for the girl to go two times around the field.