FINDING SIDE LENGTH OF SQUARE GIVEN DIAGONAL WORKSHEET

Find the length of each side.

Problem 1 :

equationsandpatternq1

Solution

Problem 2 :

equationsandpatternq2.png

Solution

Problem 3 :

equationsandpatternq3.png

Solution

Problem 4 :

A square has a diagonal with the length of 8√6 meters. What is the length of the sides ?

Solution

Problem 5 :

A square has a diagonal 12√6. What is the measure of the sides of the square ?

Solution

Answer Key

1)  length of each side is 2.

2)  length of each side is 40.

3)  length of each side is 3√2.

4)   length of each side is 8√3 .

5)  the measure of the sides of the square is 12√3.

Problem 1 :

Find the side length of the square.

sidelengthfromperimeterq1

Solution

Problem 2 :

The perimeter of a square is 400 m. calculate the length of the diagonal of the square.

Solution

Problem 3 :

The perimeter of a square is 36 m. calculate the length of the diagonal of the square.

Solution

Use the information marked on the figure to find the value of x.

Problem 4 :

sidelengthfromperimeterq4.png

Solution

Find the perimeter of quadrilateral WXYZ.

Problem 5 :

sidelengthfromperimeterq5.png

Solution

Problem 6 :

If the perimeter of a square is 8, which is the length of the diagonal ?

A) 2√2       B) 2√3     C) 8√2        D) 4

Solution

Answer Key

1)  the sides of a square is 3√2. 

2)  the length of the diagonal of the square is 100√2.

3)  the length of the diagonal of the square is 9√2.

4)   the value of x is 16√2.

5)   86 + 18√2

6)  the length of the diagonal is 2√2.

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