Question

El área de la región rectangular es 4400cm2. Calcula el valor de m

Answer 1

m=52.17

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

`A=LW`

where

L is the length

W is the width

we have

`A=4,400\ cm^2`

`L=(2m-20)\ cm`

`W=m\ cm`

substitute in the formula the given values and solve for m

`4,400=(2m-20)m`

Distribute in the right side

`4,400=2m^2-20m`

`2m^2-20m-4,400=0`

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