Question
If the length of each diagonal of the square DEFG is 18 cm, what is the perimeter of square DHGK?
- 36 cm
- 9 cm
- 18 cm
- 27 cm
The correct answer is: 36 cm
Given that the length of each diagonal of the square DEFG is 18 cm and we are asked to find out what is the perimeter of square DHGK
The diagonals of a square are congruent and bisect each other.
So, DF = EG = 18 cm
And DK = GK = EK = FK = 
= 9 cm
Given: DK = HG = KG = GH
Perimeter of square DHGK = 9 + 9 + 9 + 9
= 36 cm
using the property that diagonals of a square are congruent and bisect each other we find that the perimeter of the square DHGK is 36 cm
Related Questions to study
If JKLM is a square, find the value of k.
Therefore using the angle property of square we find the angle of k is 8°
If JKLM is a square, find the value of k.
Therefore using the angle property of square we find the angle of k is 8°
In the square EFGH, find the measure of 
.
Using the sum of angles property in a square we find the ∠OFE is 60°
In the square EFGH, find the measure of .
Using the sum of angles property in a square we find the ∠OFE is 60°
The measure of 
is ____.
Therefore the value of angle S is 97
The measure of is ____.
Therefore the value of angle S is 97
For what values of k is DUTY is a rectangle?
Therefore the value of k is 10/3
For what values of k is DUTY is a rectangle?
Therefore the value of k is 10/3
Find the measure of 
if WXYZ is a square.
The angle ∠XYV=58° obtained by subtracting the ∠VYZ from total angle.
Find the measure of if WXYZ is a square.
The angle ∠XYV=58° obtained by subtracting the ∠VYZ from total angle.
If SOAP is a square, then the length of diagonal OP is _______.
As we know diagonals of square are equal so we compared the given diagonals and obtained the value of x.
If SOAP is a square, then the length of diagonal OP is _______.
As we know diagonals of square are equal so we compared the given diagonals and obtained the value of x.
Find the perimeter of the board if each side is 1.2 m long.
The perimeter of the board=4.8m
Find the perimeter of the board if each side is 1.2 m long.
The perimeter of the board=4.8m
What is the value of p?
The value of p is 3.
What is the value of p?
The value of p is 3.
What is the measure of 
if PQRS is a rectangle?
Therefore, angle of ∠RPQ=43°.
What is the measure of if PQRS is a rectangle?
Therefore, angle of ∠RPQ=43°.
If PQRS is a rhombus, then the value of k is _________.
Therefore, the value of k is 
If PQRS is a rhombus, then the value of k is _________.
Therefore, the value of k is
The measure of CE is ____________.
A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other. Diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.
The measure of CE is ____________.
A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other. Diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.
The value of p is _________.
A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.
The value of p is _________.
A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.
The value of k is _______.
The sum of the angles of a triangle is 180°.
The value of k is _______.
The sum of the angles of a triangle is 180°.
If PQRS is a rhombus, then the length of side PS is _____.
A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.
If PQRS is a rhombus, then the length of side PS is _____.
A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.
What is the measure of 
?
Therefore the measure of ∠B is 20°
What is the measure of ?
Therefore the measure of ∠B is 20°
