Introduction for geometry parallelograms:
In geometry, parallelogram is a shape that has four sides where the opposite sides are parallel to each other. The main concepts of the parallelograms are,
The opposite angles are equal
The opposite sides are equal in its length and are parallel to each other.
Now we are going to see about the geometry - parallelograms and its problems.
Problems for geometry parallelograms:
Example 1:
Find the sides of the parallelogram having 10 cm which is the smaller side of the parallelogram. The longest side is 3 times the smallest side of the parallelogram.
Solution:
The smallest side of a non regular parallelogram = 10 cm (known)
The longest side of the parallelogram will be 10 × 3 = 30 cm.
This is due the opposite sides are equal in the parallelograms
Thus the other two sides are 10 cm and 30 cm respectively.
The irregular quadrilaterals sides, parallelograms = 10 + 30 + 10 + 30 = 80 cm.
Example 2:
Determine the sides of the parallelogram having 15 cm which is the smaller side of the parallelogram. The longest side is 5 times the smallest side of the parallelogram.
Solution:
The smallest side of a non regular parallelogram = 15 cm (known)
The longest side of the parallelogram will be 15 × 5 = 75 cm.
This is due the opposite sides are equal in the parallelograms
Thus the other two sides are 15 cm and 75 cm respectively.
The irregular quadrilaterals sides, parallelograms = 15 + 75 + 15 + 75 = 180 cm.
Is this topic Area of a Triangle Using Trig hard for you? Watch out for my coming posts.
More problems for geometry parallelograms:
Example:
Determine the area of parallelogram where the base and height of the parallelogram are 12 cm and 20.
Solution:
Given data is the base, b =12 cm and the height, h =20 cm
We know the formula for the area of parallelogram and given as,
Area of the parallelogram = b × h
Substitute the value of b and h,
Area of parallelogram = 12 × 20
= 240 cm^2
Therefore the area of a parallelogram is 240 cm^2
In geometry, parallelogram is a shape that has four sides where the opposite sides are parallel to each other. The main concepts of the parallelograms are,
The opposite angles are equal
The opposite sides are equal in its length and are parallel to each other.
Now we are going to see about the geometry - parallelograms and its problems.
Problems for geometry parallelograms:
Example 1:
Find the sides of the parallelogram having 10 cm which is the smaller side of the parallelogram. The longest side is 3 times the smallest side of the parallelogram.
Solution:
The smallest side of a non regular parallelogram = 10 cm (known)
The longest side of the parallelogram will be 10 × 3 = 30 cm.
This is due the opposite sides are equal in the parallelograms
Thus the other two sides are 10 cm and 30 cm respectively.
The irregular quadrilaterals sides, parallelograms = 10 + 30 + 10 + 30 = 80 cm.
Example 2:
Determine the sides of the parallelogram having 15 cm which is the smaller side of the parallelogram. The longest side is 5 times the smallest side of the parallelogram.
Solution:
The smallest side of a non regular parallelogram = 15 cm (known)
The longest side of the parallelogram will be 15 × 5 = 75 cm.
This is due the opposite sides are equal in the parallelograms
Thus the other two sides are 15 cm and 75 cm respectively.
The irregular quadrilaterals sides, parallelograms = 15 + 75 + 15 + 75 = 180 cm.
Is this topic Area of a Triangle Using Trig hard for you? Watch out for my coming posts.
More problems for geometry parallelograms:
Example:
Determine the area of parallelogram where the base and height of the parallelogram are 12 cm and 20.
Solution:
Given data is the base, b =12 cm and the height, h =20 cm
We know the formula for the area of parallelogram and given as,
Area of the parallelogram = b × h
Substitute the value of b and h,
Area of parallelogram = 12 × 20
= 240 cm^2
Therefore the area of a parallelogram is 240 cm^2
