Find the area (in $$cm^2$$) of the figure ABCDEF when all its sides are perpendicular to their adjacent sides.

Question

Accepted Answer

1. **Divide the shape into parts**:  
   The figure can be divided into two rectangles:  
   - Large rectangle (ABCD): Dimensions = $$9 \, cm 	imes 4.5 \, cm$$.  
   - Smaller rectangle (EF): Dimensions = $$4 \, cm 	imes 2.5 \, cm$$.

2. **Calculate the areas**:  
   - Area of large rectangle = $$9 	imes 4.5 = 40.5 \, cm^2$$.  
   - Area of smaller rectangle = $$4 	imes 2.5 = 10 \, cm^2$$.

3. **Subtract overlapping area**:  
   The smaller rectangle overlaps with the large rectangle. Subtract its area from the total:  
   $$40.5 - 10 = 30.5 \, cm^2$$.

Thus, the area of ABCDEF is **30.5 $$cm^2$$**, and the correct answer is **(c)**.

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Answer

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