Because the lid of a marker is wider than the marker itself, a set of markers can be packaged in a container that is in theshape of a trapezdid instead of a rectangle.12 in.12 in.10 in.10 in10 inWhat is the difference in area between the two packages?1 square inch 2 square inches 5 square inches 10 square inches

Answer:10 square inches.Step-by-step explanation:The area [tex]A[/tex] of a trapezoidal package with bigger base [tex]b[/tex], height [tex]h[/tex], and smaller base [tex]a[/tex], is [tex]A=\frac{a+b}{2}*h[/tex].In our case [tex]b=12[/tex][tex]h=10[/tex][tex]a=10[/tex]therefore we have [tex]A_t = \frac{12+10}{2}*10=110 \:in^2[/tex]the area of the trapezoid is 110 square inches.Now, the area [tex]A_r[/tex] of the rectangular package is its  length times height [tex]A_r=12in*10in=120\:in^2[/tex]the area of the rectangle is 120 square inches.The difference in area between the two packages is [tex]120\:in^2-110\:in^2=10\:in^2[/tex]10 square inches.