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Daniel [21]
3 years ago
14

I NEED HELP PLEASE, THANKS :)

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0

Answer:

C. 193.1 m^2

Step-by-step explanation:

<em><u>The formula for finding the area of a right trapezoid is:</u></em>

A = \frac{1}{2} (b_{1 } +b_{2})h

A = \frac{1}{2} (15.3+19.5)(11.1)

A = 193.1

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\text{Given that,}\\\\\text{First term,}~ a_1 =  -8~~~~...(i)\\\\\text{12th term,}~ a_{12} = -52~~~...(ii)\\\\\text{Common difference is d.}\\\\(ii)\div(i):\\\\\dfrac{a_{12}}{a_1} = \dfrac{-52}{-8}\\\\\\\implies \dfrac{a_1 + (12-1)d}{a_1} = \dfrac{52}8\\\\\\\implies \dfrac{-8+11d}{-8} = \dfrac{52}8\\ \\\\\implies -8+11d = \dfrac{52(-8)}8\\\\\\\implies -8+11d = -52\\\\\\\implies 11d = -44\\\\\\ \implies d = \dfrac{-44}{11} = -4

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