Measuring the area of irregular shapes by counting squares on a grid.

Irregular shapes a, b, c, d on grid for measuring area by counting squares.

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Show Answer Key & Explanations Step-by-step solution for: Area of Irregular Shapes - Mr-Mathematics.com

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1. Count the number of full squares inside each shape.
2. For partially filled squares, estimate their combined area by grouping them to form full squares.
3. Add the total number of full squares to get the area of the shape.

a) The triangle covers 6 full squares and 2 half squares. Two half squares equal one full square. Total area: 6 + 1 = 7 square units.

b) The semicircle covers 8 full squares and 4 half squares. Four half squares equal two full squares. Total area: 8 + 2 = 10 square units.

c) The green irregular shape covers 10 full squares and 4 half squares. Four half squares equal two full squares. Total area: 10 + 2 = 12 square units.

d) The orange irregular shape covers 12 full squares and 4 half squares. Four half squares equal two full squares. Total area: 12 + 2 = 14 square units.

Final answers:
a) 7 square units
b) 10 square units
c) 12 square units
d) 14 square units

Parent Tip: Review the logic above to help your child master the concept of area of irregular polygons worksheet.

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