Area of Parallelograms
A _______________________ is a two dimensional figure with opposite
sides parallel and opposite sides the same length.
A _______________________ is a parallelogram with four equal sides.
Words
The area A of a parallelogram is the product of its base b
and its height h.
Model
Symbols
A = bh
The BASE of a
parallelogram can be
any one of its sides.
The HEIGHT is the
perpendicular
distance from the
base to the opposite
side.
**Parallelograms include special quadrilaterals such as squares, rectangles,
and rhombi.
Find Missing Dimensions
1. Determine the area of the parallelogram.
The base is 6
units and the
height is 8 units.
To find missing dimensions, use the formula for the area of a
parallelogram to write an equation. Replace the variables with the known
measurements. Then solve the equation for the remaining variable.
3. Write and solve an equation to determine the missing dimensions
of the parallelograms.
Write the formula:
A = bh
Replace the variables with numbers:
A=6 8
Multiply:
A = 48
The area of the parallelogram is 48
units2
Write the formula:
A = bh
Replace the variables with numbers:
45 = 9 h
Divide each side by 9.
Simplify.
2. Determine the area of the parallelogram.
So, the height is _______________.
4. Write and solve an equation to determine the missing dimensions
of the parallelograms.
Write the formula:
Write the formula:
Replace the variables with numbers:
Replace the variables with numbers:
Divide each side by 6.
Multiply:
Simplify.
So, the base is _______________.