Answered

Draw a picture and solve the word problem:



Jake made a rectangular picnic table for his backyard. The sides of the table are 12 feet and 4 feet. What is the length of the diagonal of the table?


A11.9 ft
B12.1 ft
C12.4 ft
D12.6 ft
E13.4 ft

Verified Answer :

Final answer:

The diagonal of Jake's rectangular picnic table can be found using the Pythagorean theorem, resulting in a length of approximately 12.6 feet. Therefore, the correct answer is D) 12.6 ft.


Explanation:

Finding the Diagonal of a Rectangle


To solve for the diagonal of a rectangular picnic table, we will utilize the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal, in this case) is equal to the sum of the squares of the other two sides.


For Jake's table, the sides are:



  • Length (l) = 12 feet

  • Width (w) = 4 feet


According to the Pythagorean theorem:



  1. Diagonal2 = Length2 + Width2

  2. Diagonal2 = 122 + 42

  3. Diagonal2 = 144 + 16

  4. Diagonal2 = 160

  5. Diagonal = √160

  6. Diagonal ≈ 12.65 feet


Hence, the length of the diagonal of the picnic table is approximately 12.6 feet, making the correct answer choice D) 12.6 ft.


Learn more about diagonal of a rectangle here:

https://brainly.com/question/30459509


Related Questions