Revising the formulas.
Let's divide the shape into 1 triangle and 2 rectangles.
- => Area of triangle = 1/2 x base x altitude
- => Area of rectangle = Length x Breadth
Finding the area of the triangle
- 1/2 x 10 x 3 = Area of triangle
- => 1 x 5 x 3 = Area of triangle
- => 15 feet² = Area of triangle
Finding the area of the SMALL rectangles
- (10 x 1) + (8 x 2) = Area of the small rectangles
- => 10 + 16 = Area of the small rectangles
- => 26 feet² = Area of the small rectangles
Finding the area of the figure
- 15 + 26 = Area of figure
- => 41 feet² = Area of figure
Finding the area of the BIG rectangle
- 8 x 16 = Area of BIG rectangle
- => 128 feet² = Area of BIG rectangle
Finding the area of the unshaded region
- 128 - 41 = Area of unshaded region
- => 87 feet² = Area of unshaded region
Answers:
- Part-1: 41 feet²
- Part-2: 87 feet²
