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 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

Question

Duckling

Mathematics

28 September, 21:29

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 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

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Answers (1)

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Alfred · Answer 1

The length of the pipe = 17 feet

Step-by-step explanation:

length = 15 feet

width = 8 feet

Pythagorean theorem,

(diagonal) ² = (length) ² + (width) ² {all angles of rectangle are 90°}

= 15² + 8²

= 225 + 64 = 289

diagonal = √289 = √ 17 * 17

= 17 feet