Triangle RST is congruent to triangle .
1 answer:
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Answer:
146
Step-by-step explanation:
Hey there to find the area of this shape we will divide it into 2 shapes first one is a trapezoid and the second one is a triangle. first, we find the area of a trapezoid. to find the area of a trapezoid we use the formula:
A =
in this situation
a = 4
b = 14
h = 10
Now we plug it into the formula which will look like:
A =
if we solve it:
4+14 = 18
18/2 = 9
9*10 = 90
so the area of the trapezoid is 90
Now we find the area of triangle. to find the area of a triangle we use the formula:
A =
in this situation
b = 14
h = 8 ( because the height of the trapezoid was 10 and the height of both shapes combined is 18 so we do 18 - 10 = 8 )
Now we put the numbers into the formula which will look like:
A =
if we solve it :
14*8 = 112
= 56
so the area of the triangle is 56
Now we add the area of both shapes:
56 + 90 = 146
area of the big shape = 146
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