Question

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that apply. The triangle and trapezoid area formulas have One-half in them. The parallelogram and rectangle formulas are both the same. In the parallelogram formula, the bases are added. In the trapezoid formula, the bases are added. In the triangle formula, the sides are added, then multiplied by One-half.

Answer 1

The FIRST choice, the SECOND choice, and the FOURTH choice

Explanation:

Answer 2

The triangle and trapezoid area formulas have One-half in them.

In the trapezoid formula, the bases are added.

Explanation:

Topic: Plane Shapes

Basically, the requirement of the question is to compare area of shapes. The shapes are

1. Trapezoid
2. Triangle
3. Parallelogram
4. Rectangle

The Area of a Trapezoid is
`((a + b)/(2) )h` where a and b are the bases of the trapezoid and h is the height

The Area of a Triangle is
`(bh)/(2)` where b and h are the base and the height of the triangle respectively

The Area of a Parallelogram is
`b * h` where b and h are the bases and the height of the parallelogram

The Area of a Rectangle is
`l * b` 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
`(bh)/(2)` while Area of a Trapezoid is
`((a + b)/(2) )h`

B. The parallelogram and rectangle formulas are both the same.

False; Area of a Parallelogram is
`b * h` while Area of a Rectangle is
`l * b`

C. In the parallelogram formula, the bases are added.

False; The basis are not added

Area of a Parallelogram is
`b * h`

D. In the trapezoid formula, the bases are added.

True; Area of a Trapezoid is
`((a + b)/(2) )h`

E. In the triangle formula, the sides are added, then multiplied by One-half.

False; Area of a Triangle is
`(bh)/(2)`