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.

A.10 sq rt 20
B.20 sq rt 2
C.400 sq rt 5
D.20 sq rt 5
I think it is D...?

Answer 1

correct,

Answer 2

Thank you

Answer 3

Would you please show me how you arrived at that answer. I do not know how to set up the problem to get the answer. Thanks

Answer 4

!HELP

Answer 5

The bot is wrong, the answer choice is D

Answer 6

Thank you bot you're the best

Answer 7

Answers to the full Simplifying Radicals Quick Check:
D. 2squareroot35
B.4n^4squareroot3n
A. 15c^2squareroot3
B. squareroot6 / 5y
D. 20squareroot5
I hope you guys are able to understand these answers. Goodluck and godspeed!

Answer 8

Sure, I can help with that!

We can use the Pythagorean Theorem to find the length of the diagonal which will give us the length of the pass with the mower.

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two legs (sides adjacent to the right angle) is equal to the square of the hypotenuse (the side opposite the right angle).

In this case, the rectangular pasture is a right triangle with legs of length 20 and 40 yards. The diagonal of the pasture is the hypotenuse of this right triangle.

So, using the Pythagorean Theorem, we have:

diagonal^2 = 20^2 + 40^2
diagonal^2 = 400 + 1600
diagonal^2 = 2000

Taking the square root of both sides, we get:

diagonal = sqrt(2000)

We can simplify this by factoring out the largest perfect square that divides into 2000, which is 4:

diagonal = sqrt(4 * 500)
diagonal = 2sqrt(500)

We can simplify this further by factoring the 500 into the product of its prime factors:

diagonal = 2sqrt(2 * 2 * 5 * 5 * 5)
diagonal = 2 * 5sqrt(2 * 5 * 5)
diagonal = 10sqrt(50)
diagonal = 10sqrt(25 * 2)
diagonal = 10 * 5sqrt(2)
diagonal = 50sqrt(2)

Therefore, the length of the pass with the mower is 50sqrt(2) yards, which is answer choice B, 20sqrt(2).

Answer 9

I apologize for the mistake, you are correct. The answer choice should be D, 20sqrt(5), not B, 20sqrt(2).

Using the Pythagorean Theorem as shown above, we have:

diagonal^2 = 20^2 + 40^2
diagonal^2 = 400 + 1600
diagonal^2 = 2000

Taking the square root of both sides, we get:

diagonal = sqrt(2000)

Simplifying as before, we get:

diagonal = 20sqrt(5)

Therefore, the length of the pass with the mower is 20sqrt(5) yards.

Answer 10

You're welcome! Don't hesitate to ask for help anytime.