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Question 11 of 20: Select the best answer for the question. 11. Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of the pipe? 8 ft. 15 ft. A. 120 feet OB. 289 feet OC. 23 feet OD. 17 feet

Question

Question 11 of 20: Select the best answer for the question. 11. Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of the pipe? 8 ft. 15 ft. A. 120 feet OB. 289 feet OC. 23 feet OD. 17 feet

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Solution

The length of the pipe that Joel needs to lay can be found using the Pythagorean theorem, which 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 lengths of the other two sides. In this case, the length and width of the lawn are the two sides of the right triangle, and the pipe is the hypotenuse.

Here's how to calculate it:

  1. Square the length of the lawn: 15^2 = 225
  2. Square the width of the lawn: 8^2 = 64
  3. Add these two numbers together: 225 + 64 = 289
  4. Take the square root of this sum to find the length of the pipe: sqrt(289) = 17

So, the length of the pipe will be 17 feet. Therefore, the correct answer is OD. 17 feet.

This problem has been solved

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