SOLUTION: The heights and bases of two geometric shapes are modeled by the expressions shown. Triangle: h=3x+2 and b=2x+3 Parallelogram: h=3x+4 and b=3x+2 What expression represe

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Question 947213: The heights and bases of two geometric shapes are modeled by the expressions shown.
Triangle: h=3x+2 and b=2x+3
Parallelogram: h=3x+4 and b=3x+2
What expression represents the number of units by which the area of the parallelogram is greater than the area of the triangle?

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

by definition:
A parallelogram is a 4-sided figure formed by two pairs of parallel lines.Opposite sides are equal in length and opposite angles have equal measure.
The area of a parallelogram is , the area of a triangle be the area of a parallelogram.
Thus, the formula for the area of a triangle is:
if given
Triangle: and
then





and
Parallelogram: and




What expression represents the number of units by which the area of the parallelogram is greater than the area of the triangle?


find the difference:



=> expression represents the number of units by which the area of the parallelogram is greater than the area of the triangle

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