SOLUTION: Area of a parallelogra. Find a trinomial that represents the area of a parallelogram whose base is 3x+2 meters and whose height is 2x+3 meters.

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Area of a parallelogra. Find a trinomial that represents the area of a parallelogram whose base is 3x+2 meters and whose height is 2x+3 meters.       Log On


   



Question 78055This question is from textbook Elementary and Intermediate Algebra
: Area of a parallelogra. Find a trinomial that represents the area of a parallelogram whose base is 3x+2 meters and whose height is 2x+3 meters. This question is from textbook Elementary and Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the area of the rectangle, just multiply the base and the height

A=b%2Ah where b is the base, h is the height

A=%283x%2B2%29%282x%2B3%29
So just foil the parenthesis

A=3x%2A2x%2B3x%2A3%2B2x%2A2%2B2%2A3

A=6x%5E2%2B9x%2B4x%2B6 Multiply

A=6x%5E2%2B13x%2B6 Combine like terms

So the area of a rectangle with a base of 3x+2 meters and a height of 2x+3 meters is
6x%5E2%2B13x%2B6