Table of Contents
- 1 Does the area of a parallelogram change?
- 2 What is the rule for the area of a parallelogram?
- 3 What happens to the area of a parallelogram when the length of its base is doubled but the height remains the same?
- 4 What changes should be made to a parallelogram to get a rectangle?
- 5 Why is area of parallelogram base times height?
- 6 How is the base and height of a parallelogram related?
- 7 How many sides are there in a parallelogram?
Does the area of a parallelogram change?
Basically, to find the area of a parallelogram you use the same formula as with rectangles. Notice that the lengths of the slanted sides of the parallelogram do not have any affect on the area of the parallelogram.
What is the rule for the area of a parallelogram?
The area of a parallelogram can be calculated by finding the product of its base with the altitude. The base and altitude of a parallelogram are always perpendicular to each other. The formula to calculate the area of a parallelogram is given as Area of parallelogram = base × height square units.
What is the base in the area of parallelogram?
A base of a parallelogram is defined to be any one of the sides of the parallelogram. There are two possible values for the height of the parallelogram, depending on which side of the parallelogram is chosen as the base.
What happens to the area of a parallelogram when the length of its base is doubled but the height remains the same?
So if the base is doubled and height remains same, then the area doubles.
What changes should be made to a parallelogram to get a rectangle?
By the transitive property of ~=, you have all four angles congruent. Because the measures of the interior angles of a quadrilateral add up to 360, you can show that all four angles of our parallelogram are right angles. That’s more than enough to make your parallelogram a rectangle.
What change needs to be made to change a parallelogram into a rhombus?
If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
Why is area of parallelogram base times height?
Why is the Area of a Parallelogram Base Times Height? The area of a parallelogram is base times height because it can be rearranged into a rectangle with the same area. A rectangle is a special type of parallelogram.
It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base. Thus, a dotted line is drawn to represent the height. Where “b” is the base and “h” is the height of the parallelogram.
How to calculate the area of a parallelogram?
Parallelogram Area Using Sides Suppose a and b are the set of parallel sides of a parallelogram and h is the height, then based on the length of sides and height of it, the formula for its area is given by: Area = Base × Height A = b × h [sq.unit]
How many sides are there in a parallelogram?
A parallelogram is a geometrical figure that has four sides formed by two pairs of parallel lines. In a parallelogram, the opposite sides are equal in length, and opposite angles are equal in measure. What is the Area of a Parallelogram?