Respuesta :

To find area of the trapezoid, we need to find height of the trapezoid. When we draw a line from the top base to the bottom base, from the obtuse angle, we will get a triangle with hypotenuse = 10 ft, leg=(14-8) = 6 ft, and second leg (h) is going to be a height of the trapezoid.

We can use Pythagorean theorem, 10² = 6² + h², h²= 64, h=8.

Area of a trapezoid =(1/2)(base1 +base2)*height = (1/2)(8+14)*8= 88 ft².

Answer is 88 ft².

To find area of the trapezoid, we need to find height of the trapezoid. When we draw a line from the top base to the bottom base, from the obtuse angle, we will get a triangle with hypotenuse = 10 ft, leg=(14-8) = 6 ft, and second leg (h) is going to be a height of the trapezoid.We can use Pythagorean theorem, 10² = 6² + h², h²= 64, h=8.Area of a trapezoid =(1/2)(base1 +base2)*height = (1/2)(8+14)*8= 88 ft².Answer is 88 ft².