7th Grade - Area of Paralleogram

Introduction

• A parallelogram is a special quadrilateral (four sides) with two pairs of parallel sides.

                                 

• The opposite sides of a parallelogram are equal in length.
• The opposite angles of a parallelogram are equal in measure.
• The sum of all the interior angles of a parallelogram is equal to $360°$.

Area of Parallelogram

• The area of a parallelogram is the region enclosed by it. 
• If we know the length of the base and height of a parallelogram, we can determine its area by using the formula mentioned below.

${\mathrm{Area}}_{ \mathrm{parallelogram}}= \mathrm{b}\times \mathrm{h}$, where $b=$length of the base, and $h=$height of the parallelogram

Solved Examples

Question 1: Find the area of the parallelogram shown below.

Solution: ${\mathrm{Area}}_{ \mathrm{parallelogram}}=\mathrm{b}\times \mathrm{h}$ $=7\times 4$ $=28 c{m}^2$

Question 2: Find the area of the parallelogram shown below.

Solution: ${\mathrm{Area}}_{ \mathrm{parallelogram}}=\mathrm{b}\times \mathrm{h}$ $=4.5\times 5$ $=22.5 c{m}^2$

Question 3: Find the area of the parallelogram shown below.

Solution: ${\mathrm{Area}}_{ \mathrm{parallelogram}}=\mathrm{b}\times \mathrm{h}$ $=4.5\times 6$ $=27 i{n}^2$

Cheat Sheet

• ${\mathrm{Area}}_{ \mathrm{parallelogram}}= \mathrm{b}\times \mathrm{h}$, where $b=$length of the base, and $h=$height of the parallelogram.
• Any side of a parallelogram can be chosen as the base of the parallelogram.
• The perpendicular dropped on the base from the opposite vertex is known as height (altitude).

Blunder Areas

• All the quadrilaterals are not parallelograms.