Videos, worksheets, stories and songs to help Grade 7 students learn how to find the area of
shaded region involving polygons and circles.
Sometimes, you may be required to calculate the area of shaded regions. Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region. If any of the shapes is a composite shape then we would need to subdivide it into shapes that we have area formulas, for example
|Area of Polygons triangle, square, rectangle, parallelogram, rhombus, kite, trapezoid, regular polygon||Area of Circle.|
Calculate the shaded area:
Area of inner square = 2 cm × 2 cm = 4 cm2
Area of outer shape = (2 cm × 3 cm) + (10 cm × 3 cm)
= 6 cm2 + 30 cm2
= 36 cm2
Shaded area = area of outer shape – area of inner square
= 36 cm2 – 4 cm2
= 32 cm2
|Worksheet 1||Worksheet 2|
How to Find the Area of a Rectangle Subtracted from Another
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