Answer:
<em>The triangle and trapezoid area formulas have One-half in them.</em>
<em>In the trapezoid formula, the bases are added.</em>
Step-by-step explanation:
<em>Topic: Plane Shapes</em>
Basically, the requirement of the question is to compare area of shapes. The shapes are
- Trapezoid
- Triangle
- Parallelogram
- Rectangle
The Area of a Trapezoid is
where a and b are the bases of the trapezoid and h is the height
The Area of a Triangle is
where b and h are the base and the height of the triangle respectively
The Area of a Parallelogram is
where b and h are the bases and the height of the parallelogram
The Area of a Rectangle is
where l and b are the length and the breadth of the triangle respectively
Checking option a through e
A. The triangle and trapezoid area formulas have One-half in them.
True; Area of a Triangle is
while Area of a Trapezoid is
B. The parallelogram and rectangle formulas are both the same.
False; Area of a Parallelogram is
while Area of a Rectangle is
C. In the parallelogram formula, the bases are added.
False; The basis are not added
Area of a Parallelogram is 
D. In the trapezoid formula, the bases are added.
True; Area of a Trapezoid is
E. In the triangle formula, the sides are added, then multiplied by One-half.
False; Area of a Triangle is 