What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?

The perimeter of the polygon is 22.

Step-by-step explanation:

Let , , and the vertices of the polygon. From Geometry we know that number of side of polygons equals their number of vertices, then we notice that a quadrilateral is here. In addition, we conclude that such quadrilateral is a rectangle:

1)

2)

3)

4)

Hence, we find that and .

Then we find all lengths of the rectangle by Pythagorean Theorem:

By Geometry, we conclude that and .

Then, the perimeter of the rectangle (), dimensionless, is defined by the following formula:

(Eq. 1)

Where:

- Shortest length, dimensionless.

- Longest length, dimensionless.

If we know that and , then the perimeter of the rectangle is:

The perimeter of the polygon is 22.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

answer: sorry i can't you.

step-by-step explanation: