Question

A community is building a square park with sides that measure 120 meters. To separate the picnic area from the play area, the park is split by a diagonal line from opposite corners. Determine the approximate length of the diagonal line that splits the square. If necessary, round your answer to the nearest meter.

Answer 1

Answer:

Therefore,

The length of the diagonal, that splits the square is 170 meters.

Step-by-step explanation:

Given:

A Square Park with measures,

Side = 120 meters.

Now Picnic area is seperated by the Diagonal say "d" as shown in the figure below,

To Find:

The approximate length of the diagonal line that splits the square = ?

Solution:

For a Square we have,

• All sides are equal in measures.
• Each vertex angle is 90°.
• Measure of Diagonal is √2 times of its side and given by,

$Diagonal = (side)\times \sqrt{2}$

side=  measure of side of square

∴ $Diagonal = 120\times \sqrt{2}=169.705\approx 170\ m$

Therefore,

The length of the diagonal, that splits the square is 170 meters.