A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.
1.4 meters
4.3 meters
6.3 meters
14.2 meters
To find the length of the diagonal, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let's label the width as side A (9 meters) and the length as side B (11 meters). The diagonal will be the hypotenuse, which we'll label as side C.
Using the Pythagorean theorem, we have:
C² = A² + B²
C² = 9² + 11²
C² = 81 + 121
C² = 202
Taking the square root of both sides to solve for C, we have:
C = √202
Approximating to the nearest tenth, we have:
C ≈ 14.2
So, you will swim approximately 14.2 meters. Therefore, the closest answer is 14.2 meters.