sdogonniuck
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Plz I need help. 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.)

Plz I need help 1 You have to write an equation in standard form ax2bxc0 that represents the problem 2 solve by factoring if possible if not possible then solve class=

Respuesta :

joseaaronlara

Answer:

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                              

               

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