Respuesta :

The figure below is a Trapezium.

Let's write out the formula for the area of a trapezium,

[tex]\text{Area of a trapezium=}\frac{1}{2}(a+b)h[/tex]

1) Let us write out the data given in the first figure,

[tex]\begin{gathered} a=7\operatorname{cm} \\ b=10\operatorname{cm} \\ h=4\operatorname{cm} \end{gathered}[/tex]

Let us solve for the area of the figure,

[tex]\begin{gathered} \text{Area of the trapezium=}\frac{\text{1}}{2}(7+10)\times4 \\ =\frac{1}{2}(17)\times4 \\ =34cm^2 \end{gathered}[/tex]

The area of the trapezium is 34cm².

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