Looking at the image, I can see a rectangle with a triangle cut out from its center. The rectangle has dimensions of 30 inches by 28 inches. The triangle inside has a base of 25 inches and a height of 22 inches. The shaded area represents the region of the rectangle that is not covered by the triangle.
To solve this problem, I need to calculate the area of the shaded region. This can be done by subtracting the area of the triangle from the area of the rectangle.
Let me calculate the areas:
1. Area of the rectangle = length × width = 30 in × 28 in
2. Area of the triangle = (base × height) / 2 = (25 in × 22 in) / 2
3. Shaded area = Area of rectangle - Area of triangle
Let me perform these calculations:
- Area of rectangle = 30 × 28 = 840 square inches
- Area of triangle = (25 × 22) / 2 = 550 / 2 = 275 square inches
- Shaded area = 840 - 275 = 565 square inches
Therefore, the area of the shaded region is 565 square inches.
Parent Tip: Review the logic above to help your child master the concept of find the area of the shaded region worksheet.
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