Area of the shaded region = 24 m²
Area of the polygon = 160 ft²
Solution:
Question 1:
Length of the rectangle = 8 m
Width of the rectangle = 4 m
Area of the rectangle = length × width
= 8 × 4
= 32 m²
Area of the rectangle = 32 m²
Side length of the square = 2 m
Area of the square = side × side
= 2 × 2
= 4 m²
Area of the square = 4 m²
Area of 2 squares = 2 × 4 = 8 m²
Area of the shaded region = Area of the rectangle – Area of 2 squares
= 32 m² – 8 m²
= 24 m²
Area of the shaded region = 24 m²
Question 2:
Area of the rectangle = 14 × 12 = 168 ft²
Area of the one square (corner) = 2 × 2 = 4 ft²
Area of the 2 squares (corner) = 2 × 4 = 8 ft²
Area of the polygon = Area of the rectangle – Area of 2 squares
= 168 ft² – 8 ft²
= 160 ft²
Area of the polygon = 160 ft²
