Question

A rectangular pool measures 20 meters by 30 meters. Mr. Jeffries wants to stretch a line from the northwest corner of the pool to the southeast corner. How many meters of line does he need? Round your answer to the nearest tenth of a meter.

A) 36.1 meters
B) 39.7 meters
C) 33.5 meters

Answer 1

The length of the line Mr. Jeffries needs to stretch is approximately 36.1 meters.

Step-by-step explanation:

To find the length of the line that Mr. Jeffries needs to stretch from the northwest corner to the southeast corner of the rectangular pool, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the two sides of the right triangle are the length and width of the pool, which measure 20 meters and 30 meters respectively. So, the hypotenuse (the line Mr. Jeffries needs) can be calculated as:

Hypotenuse = √(20^2 + 30^2)

Plugging in the values, we get:

Hypotenuse = √(400 + 900)

Hypotenuse = √1300

Hypotenuse ≈ 36.1 meters