The problem can be solved in the following steps:

1. Simon cycled for half an hour at a speed of 8 km/hr. Therefore, the distance he covered is Speed * Time = 8 km/hr * 0.5 hr = 4 km.

2. The distance he covered is the diagonal of the square field. In a square, the diagonal divides it into two congruent right-angled triangles. The length of the diagonal (d) can be found using the Pythagorean theorem a² + b² = c², where a and b are the sides of the square and c is the diagonal. But since this is a square, a = b. So, the equation becomes 2a² = d².

3. Solving for a (the side of the square), we get a = sqrt(d²/2) = sqrt(4²/2) = sqrt(8) = 2.828 km (approximately).

4. The area of a square is given by the formula side². So, the area of the field is (2.828 km)² = 7.99 square km (approximately).

So, none of the options given (8, 64, 4, 24) are correct. The area of the field is approximately 7.99 square km.

Question

The problem can be solved in the following steps:

1. Simon cycled for half an hour at a speed of 8 km/hr. Therefore, the distance he covered is Speed * Time = 8 km/hr * 0.5 hr = 4 km.

2. The distance he covered is the diagonal of the square field. In a square, the diagonal divides it into two congruent right-angled triangles. The length of the diagonal (d) can be found using the Pythagorean theorem a² + b² = c², where a and b are the sides of the square and c is the diagonal. But since this is a square, a = b. So, the equation becomes 2a² = d².

3. Solving for a (the side of the square), we get a = sqrt(d²/2) = sqrt(4²/2) = sqrt(8) = 2.828 km (approximately).

4. The area of a square is given by the formula side². So, the area of the field is (2.828 km)² = 7.99 square km (approximately).

So, none of the options given (8, 64, 4, 24) are correct. The area of the field is approximately 7.99 square km.

Knowee AI · Accepted Answer

The problem can be solved in the following steps:

1. Simon cycled for half an hour at a speed of 8 km/hr. Therefore, the distance he covered is Speed * Time = 8 km/hr * 0.5 hr = 4 km.

2. The distance he covered is the diagonal of the square field. In a square, the diagonal divides it into two congruent right-angled triangles. The length of the diagonal (d) can be found using the Pythagorean theorem a² + b² = c², where a and b are the sides of the square and c is the diagonal. But since this is a square, a = b. So, the equation becomes 2a² = d².

3. Solving for a (the side of the square), we get a = sqrt(d²/2) = sqrt(4²/2) = sqrt(8) = 2.828 km (approximately).

4. The area of a square is given by the formula side². So, the area of the field is (2.828 km)² = 7.99 square km (approximately).

So, none of the options given (8, 64, 4, 24) are correct. The area of the field is approximately 7.99 square km.

Select the correct answerSimon started cycling along the boundaries of a square field from corner point A. After half an hour, he reached the corner point C, diagonally opposite to A. If his speed was 8 km/hr, the area of the field in square km is:Options864424

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