Question

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:32 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 the shape of a trapezoid instead of a rectangle. A trapezoid has a base of 12 inches, height of 10 inches, and top side length of 10 inches. A rectangle has a base of 12 inches and height of 10 inches. What is the difference in area between the two packages

Answer 1

10 Square Inches

Explanation:

Answer 2

10 Square Inches

Explanation:

Trapezoid

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid
`=(1)/(2)(a+b)h, $where a and b are the lengths of the base and top respectively$`

`=(1)/(2)(10+12)*10\\=5*22=110 \:Square\:Inches`

Area of the Trapezoid=110 Square Inches

Rectangle

Base = 12 inches

Height =10 inches.

Area of a Rectangle=Base X Height

=12 X 10

=120 Square Inches

Difference in Area between the two packages

Difference=Area of Rectangle-Area of Trapezoid

=120-110

=10 Square Inches