Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
- Height ( h ) = 4.5 cm
- Base 1 ( b ) = 5.2 cm
- Base 2 ( b ) = 10.8 cm
[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
- Area of the given trapezium
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \sf{Area \: of \: a \: trapezium = \frac{1}{2} h \: (b_{1} + b_{2})}}[/tex]
Plug the known values and then simplify !
⟶ [tex] \sf{ \frac{1}{2} \times 4.5 \times (5.2 + 10.8)}[/tex]
⟶ [tex] \tt{ \frac{1}{2} \times 4.5 \times 16}[/tex]
⟶ [tex] \tt{36 \: {cm}^{2} }[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{36 \: {cm}^{2} }}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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