The figure is made up of 2 rectangles and 2 right triangles
What is the area of this figure
132 units^2
156 units^2
168 units^2
216 units^2

The figure is made up of 2 rectangles and 2 right triangles What is the area of this figure 132 units2 156 units2 168 units2 216 units2 class=

Respuesta :

Answer:

total area = 132 units²

Step-by-step explanation:

  • Area of a rectangle = width x height
  • Area of a triangle = 1/2 x base x height

Area of largest rectangle = 4 x 15 = 60 units²

Area of smallest rectangle = 4 x 6 = 24 units²

Area of largest triangle = 1/2 x (15 - 6) x (4 + 4) = 36 units²

Area of smallest triangle = 1/2 x 6 x 4 = 12 units²

Total area of the figure = sum of areas of 2 rectangles and 2 triangles

⇒ area = 60 + 24 + 36 + 12 = 132 units²