412,198 views
1 vote
1 vote
The area of a square region is 529 mi2. What is the perimeter of the​ region?

User Jiawen
by
2.6k points

2 Answers

8 votes
8 votes

Answer:

92 miles

Explanation:

The area of a square is Length x Width. All sides of a square are equal in length so length = width. This is the same as saying x = length and x = width so X times X equals the area. X times X is X².

This tells you that X² = 529 mi². X would equal the square root of 529 which is 23. 23 x 23 = 529.

Each side of the square is 23 miles. The perimeter is equal to side 1 plus side 2 plus side 3 plus side 4. Again since it is a square all sides are equal.

This mean you can just take 4 x 23 miles. The perimeter = 92 miles

User Serial
by
3.4k points
9 votes
9 votes

Answer:

The perimeter of the region is 92 miles

Explanation:

For a given Square

Area = 529 mi²

Now, To find area we use formula

A = (l)²

529 = l²

√529 = l

23 = l

l = 23 miles

Now, To find perimeter of square we use,

P = 4l

P = 4 (23)

P = 92 miles

Thus, The perimeter of the region is 92 miles

-TheUnknownScientist 72

User Stanimirsp
by
2.8k points