Step-by-step explanation:
Area of a trapezoid is:
A = ½ (a + b) h
where a and b are the top and bottom lengths and h is the height.
If 7.6 refers to the entire side length, then the area is:
A = ½ (2.6 + 7.6) (4)
A = 20.4
If 7.6 refers only to the length right of the right angle, we can use Pythagorean theorem to find the length on the left:
x² + 4² = 5²
x = 3
So the whole side length is 3 + 7.6 = 10.6. That means the area is:
A = ½ (2.6 + 10.6) (4)
A = 26.4
