To determine the lateral area of the pentagonal prism illustrated in the figure, we begin the calculation.
According to the definition:

Where:
: Represents the lateral area
: Refers to the perimeter of the base
h: Denotes the height
By substituting the known values:

Result:

3x4-2x3-2x2+4x-10
Explication étape par étape:
Il suffit de regrouper les termes similaires.
Carly possesses 2 dimes and 4 nickels.
Since a dime is worth 10 cents, with 1 dime and 3 nickels you would have 20 cents; with 2 dimes and 4 nickels, the total would be 40 cents. It is required to have two additional nickels compared to the number of dimes.
Let M represent the intersection point of the medians.
Assign the distance from D to M as x and from Q to M as y.
Based on the properties of triangle medians, we understand that

Furthermore,

Recognizing that the medians are perpendicular permits us to deduce that:

Thus, since