From the given figure, we can deduce the following dimensions:
• Height of parallelogram = 7 cm
,
• Base of parallelogram = 3 cm
• Length of one side of square = 3 cm
Let's find the area of the figure consisting of a parallelogram and a square.
To find the area, we have:
Area of figure = Area of parallelogram + Area of square
• To find the area of the parallelogram, apply the formula:
Area = base x height
Area = 7 cm x 3 cm = 21 cm²
The area of the parallelogram is 21 square cm.
• To find the area of a square, apply the formula:
Area = length x length
Area = 3 cm x 3 cm = 9 cm²
The area of the square is 9 square cm.
Now, to find the area of figure, we have:
Area = area of parallelogram + area of square
Area = 21 cm² + 9 cm² = 30 cm²
Therefore, the area of the figure is 30 cm².
ANSWER:
30 cm²