51,144 views
28 votes
28 votes
Area of a square plot 6561 m2. Find the length of the dragonal.​

User Paul Lemarchand
by
2.8k points

2 Answers

11 votes
11 votes

Answer:

Explanation:

Area of a square using diagonals = Diagonal²:2

so Diagonal = √(Area *2)

√(6561*2) =

√13122 =

114.55

-----------------------------------------------------------------

114.55² = 6561

the answer is good

User Jonathon Kresner
by
2.7k points
20 votes
20 votes

Answer:

Do you mean diagonal? If so, I think the answer is 114.55 metres.

Explanation:

It might be wrong, but here's what I think.

We need to find out
√(6561) first.


√(6561) = 81

Use Pythagoras' theorem.

Divide the square into two along the diagonal.

You want to find out the hypotenuse of one of the triangles. Two of the sides are known, and both of these are 81 m.


a^(2) +b^(2) = c^(2)

Substitute 81 into a and b:


81^(2) + 81^(2) = c^(2)

Find out what
81^(2) is.


6561 + 6561 = c^(2)

Add.


13122 = c^(2)

Figure out the value of c.


√(13122) = c\\c = 114.5512986

Round to 2 decimal places.

Answer: 114.55

User Nemanja Trifunovic
by
2.9k points