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Martin needs to place caution tape across both diagonals of a broken rectangular door in his store. If the dimensions of the door are three feet by seven feet, how many feet of cation tape will he need?

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To place caution tape across both diagonals of the broken rectangular door, you'll be forming an "X" shape. Each diagonal is equal to the hypotenuse of a right triangle with legs of 3 feet and 7 feet. You can use the Pythagorean theorem to find the length of each diagonal:

Diagonal = √(3^2 + 7^2)

Diagonal = √(9 + 49)

Diagonal = √58 feet

For both diagonals, you would need 2 times the length of one diagonal:

Total caution tape needed = 2 * √58 feet ≈ 15.16 feet.

So, Martin will need approximately 15.16 feet of caution tape to place across both diagonals of the broken door.

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