Calculating Shaded Area of Figure
To find the shaded area of the given figure, you need to calculate the area of the large rectangle and then subtract the area of the smaller, unshaded rectangle that is inside the larger rectangle.
The area of a rectangle is found using the formula:
Area = length × width
1. Calculate the area of the large rectangle:
Length = 17 cm
Width = 11 cm
Area (large rectangle) = 17 cm × 11 cm = 187 cm²
2. Calculate the area of the smaller rectangle:
From the given lengths in the image, you can deduce that the length of the smaller (inner) rectangle would be 17 cm - 3 cm - 3 cm (since there are two 3 cm lengths subtracted from the total width), and for the width 11 cm - 3 cm - 3 cm (two 3 cm lengths subtracted from the total length).
Length (small rectangle) = 17 cm - 6 cm = 11 cm
Width (small rectangle) = 11 cm - 6 cm = 5 cm
Area (small rectangle) = 11 cm × 5 cm = 55 cm²
3. Calculate the shaded area by subtracting the area of the small rectangle from the area of the large rectangle:
Shaded area = Area (large rectangle) - Area (small rectangle)
Shaded area = 187 cm² - 55 cm² = 132 cm²
Therefore, the shaded area of the figure is 132 cm².
