Respuesta :

Answer:

  • area of rectangle:
  • length * width
  • 14 * 12
  • 168 inch²

area of the rectangle is 168 inch²

area of triangle:

[tex]\frac{1}{2}[/tex] * base * height

[tex]\frac{1}{2}[/tex] * 2 * 12

→ 12 inch²

area of left triangle is 12 inch² and right triangle is 12 inch²

Both triangle have same area; so total area of both: 2 * 12 = 24 inch²

Area of the trapezoid: area of the rectangle + area of two triangles

                                   →  168 inch² + 24 inch²

                                   → 192 inch²

Answer:

168

12

12

192

Step-by-step explanation:

Area of a rectangle = width x length

⇒ area ABEF = 12 x 14 = 168 in²

Area of a triangle = 1/2 x base x height

⇒ area ΔDFA = 1/2 x 2 x 12 = 12 in²

ΔDFA = ΔCEB

⇒ area ΔCEB = 12 in²

Area of trapezoid ABCD = area of rectangle ABEF + area ΔDFA + area ΔCEB

⇒ area ABCD = 168 + (2 x 12) = 192 in²