Answer:
m=52.17
Step-by-step explanation:
The complete question in Spanish is
El área de la región rectangular es 4400 cm2. Calcular el valor de m
largo :2m-20
ancho: m
The question in English is
The area of the rectangular region is 4400 cm2. Calculate the value of m
length :2m-20
width: m
we know that
The area of a rectangle is equal to
[tex]A=LW[/tex]
where
L is the length
W is the width
we have
[tex]A=4,400\ cm^2[/tex]
[tex]L=(2m-20)\ cm[/tex]
[tex]W=m\ cm[/tex]
substitute in the formula the given values and solve for m
[tex]4,400=(2m-20)m[/tex]
Distribute in the right side
[tex]4,400=2m^2-20m[/tex]
[tex]2m^2-20m-4,400=0[/tex]
Solve the quadratic equation by graphing
Using a graphing tool
The solution is m=52.17 (the positive value is the solution)
see the attached figure
