Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
- We're provided the figure of trapezium in which 2 m and 7m are the opposite parallel sides and 10m is the height.
- The formula to found out the area of a trapezium is [tex] \frac{1}{2} \tt{h(a + b)}[/tex] where h is the height and a & b are the opposite parallel sides .
[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
[tex] \boxed{ \large{ \tt{❊ \: AREA \: OF \: TRAPEZIUM \: (A) = \frac{1}{2} h(a + b)}}}[/tex]
- Plug the values & then simplify!
[tex] \large{ \tt{↬ \frac{1}{2} \times 10(2 + 7)}}[/tex]
[tex] \large{ \tt{↬ \frac{1}{2} \times 10 \times 9 }}[/tex]
[tex]↬ \boxed{ \large{ \tt{45 \: {m}^{2} }}}[/tex]
- Hence , The required answer is 45 square meters .
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