What is the total area, in square inches, of the shaded sections of the trapezoid below?

9514 1404 393

  64.5 square inches

Step-by-step explanation:

The area of each of the two triangles can be found from the formula ...

  A = (1/2)bh

left triangle

  A = (1/2)(9.8 in)(8.6 in) = 42.14 in²

right triangle

  A = (1/2)(5.2 in)(8.6 in) = 22.36 in²

Total shaded area is the sum of the areas of the two triangles:

  (42.14 +22.36) in² = 64.5 in²

step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: