120k views
2 votes
10. marques walked halfway around a square garden that has an area of

400 square meters. how many meters did marques walk?

1. 20 meters
2. 7 meters
3. 14 meters
4. 40 meters

User Fotinakis
by
7.8k points

1 Answer

4 votes

Answer:

40 meters

Explanation:

To find the length of the sides of the square garden, we need to take the square root of its area, which is 400 square meters. The square root of 400 is 20 meters.

Since Marques walked halfway around the garden, he walked along two adjacent sides of the square. Therefore, the distance he walked is equal to half the perimeter of the square.

The perimeter of a square is given by the formula P = 4s, where s is the length of one side.

For the given square garden with sides of 20 meters, the perimeter would be:

P = 4s

P = 4(20)

P = 80 meters

Since Marques walked halfway, he walked half the perimeter:

Distance walked = 1/2 * 80 meters

Distance walked = 40 meters

Therefore, Marques walked 40 meters. Option 4 is the correct answer.

User Mourner
by
7.6k points