At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right angles.

Picture

What is the area, in square feet, of the shaded region?

What is the area, in square feet, of the non-shaded region?


The Figure Below Shows A Shaded Region And A Nonshaded Region Angles In The Figure That Appear To Be Right Angles Are Right Angles Picture What Is The Area In S class=

Sagot :

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