Question
The following figure have been split into rectangles. Find the area. (The measures are given in centimeter)
✓
Answer
This figure consists of two rectangles II and IV and two squares I and III.
Area of square $I =($ Side $\times$ Side $)=(3 \times 3)=9 cm^2$
Similarity, area of rectangle II $=($ Side $\times$ Side $)=(2 \times 1)=2 cm^2$
Area of square III $=($ Side $\times$ Side $)=(3 \times 3)=9 cm^2$
Area of rectangle IV $=($ Side $\times$ Side $)=(2 \times 4)=8 cm^2$
Thus, the total area of this figure = (Area of square I + Area of rectangle II + Area of square III + Area of rectangleIV)
$=(9+2+9+8)=28 cm^2$
Area of square $I =($ Side $\times$ Side $)=(3 \times 3)=9 cm^2$
Similarity, area of rectangle II $=($ Side $\times$ Side $)=(2 \times 1)=2 cm^2$
Area of square III $=($ Side $\times$ Side $)=(3 \times 3)=9 cm^2$
Area of rectangle IV $=($ Side $\times$ Side $)=(2 \times 4)=8 cm^2$
Thus, the total area of this figure = (Area of square I + Area of rectangle II + Area of square III + Area of rectangleIV)
$=(9+2+9+8)=28 cm^2$
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