Question

A gardener is mowing a 20 by 40 yard rectangular pasture using a diagonal pattern. He mows from one corner of the pasture to the corner diagonally opposite. What is the length of this pass with the mower? Give your answer in simplified form. Recall from the Pythagorean Theorem that, for a right triangle, the square of the length of the diagonal is equal to the sum of the squares of the lengths of the sides.

A. 10 times square root 20
B. 20 times square root 2
C. 400 times square root 5
D. 20 times square root 5

Answer 1

d

Explanation:

using Pythagorean theorem you would do a^2 + b^2 = c^2 so 20^2 + 40^2 = 2000 do the square root of 2000 and you get 20* square-root of 5

Answer 2

20 * (sqrt) 5 is the correct answer or “D”

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