POL017 · Quadrilaterals & polygons · Classes 6–8
Area of parallelogram
A parallelogram can be cut and rearranged into a rectangle with the same base and height, so its area is base × height (not base × slant side).
b × hArea of parallelogram
📐 Formula
Area = base × perpendicular height
✏️ Worked example
Base 9, height 4: area = 36, whatever the slant.
🌍 Where it is used
Areas of slanted plots, fabric pieces and solar panels.
❓ Quick check
Base 12, height 5. Area?
🏋️ Practice
EasyBase 7, height 3. Area?
Answer: 21
MediumArea 48, height 6. Base?
Answer: 8
ChallengeDoes the area change if the slant changes but base and height stay?
Answer: No