Answer:
92
Step-by-step explanation:
this figure can be "split" into 3 sub-figures.
one rectangle in the middle, one triangle to the right, and one triangle on top.
these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.
it is clear, the area of a rectangle is length×width.
and the area of triangle is baseline×height/2.
where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.
the rectangle
R = 10×6 = 60
the triangle to the right
T1 = (14-10)×6/2 = 12
the triangle on the top
T2 = 10×(10-6)/2 = 20
so, the total area is
60+12+20 = 92
