Plz i need . 1. you have to write an equation in standard form (ax^2+bx+c=0) that represents the problem, 2. solve by factoring if possible, if not possible, then solve using the quadratic equation, and 3. write the answer with units. the word problem is attached below.

(sorry for the specific instructions but that's how our teacher wants it.)

The answer to your question is base = 15 height = 20

Step-by-step explanation:

Data

Perimeter = 120 yd

Area = 600 yd²

Equations

Perimeter                      4b + 3h = 120

Area                               2(b x h) = 600

Process

1.- Solve Area for b

                                   b = 600/2h

                                   b = 300/h

2.- Substitute b in Perimeter

                                  4(300/h) + 3h = 120

3.- Simplify

                                  1200/h + 3h = 120

multiply by h              1200 + 3h² = 120h    

                                   3h² - 120h + 1200 = 0

divide by 3                    h² - 40h + 400 = 0

                                      (h - 20)² = 0

                                       h = 20

Substitute in perimeter to find b

                               4b + 3(20) = 120

Simplify

                               4b + 60 = 120

                                4b = 120 - 60

                                 4b = 60

                                  b = 60/4

                                  b = 15                              

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu