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Step-by-step explanation:

Refer to attachment

As the first step extending the segment BC until intersection with AD.

Since ∠A + ∠B = 90° we get right triangle by extending CB

Naming the segments a, b, c, d as pictured

The are of (ABCD) is equal to sum of areas of two right triangles:

Substitute d with a-c as a = c+d, then:

Applying Pythagorean to small triangle:

Applying Pythagorean to bigger triangle:

Subtracting equations we got:

This gives us the 4 times of the area which is 1/2(ab + ac), so the area is

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step-by-step explanation: