Answer:
164 cm^2
Explanation:
lets find square of triangle first
corner ABD is 90 degrees coz corner ABC is 180 degrees and EBC is 90
(sum of all angles of a quadrilateral is 360,
B = 360 - C - F - E
360 - 90 - 90 - 90 = 90)
BD = CF - DE
BD = 16 - 8 = 8 cm
S ABD = AB * BD / 2 (coz corner B is 90 degrees)
S ABD = 13 * 8 / 2 = 13 * 4 = 52 cm^2
lets find square of BEFC next
S BEFC = CF * EF ( B = C = F = E = 90 so thats a rectangle)
S BEFC = 16 * 7 = 70 + 42 = 112 cm^2
finally lets find total area
S = S ABD + S BEFC = 52 + 112 = 164 cm^2