Respuesta :

The area of the trapezoid is 30 squared inches

Here, we want to calculate the area of the trapezoid

Mathematically, the formula is;

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

where a and b represents the parallel sides and h is the height

From the diagram, we have a and b as 5 in and 10 in respectively; we have the height as 4 inches

Substituting these values into the formula, we have;

[tex]\begin{gathered} A\text{ = }\frac{1}{2}(5+10)4 \\ \\ A\text{ = }\frac{1}{2}\times15\times4 \\ A\text{ = 15}\times2 \\ \\ A=30in^2 \end{gathered}[/tex]