Una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la fórmula para calcular el ancho de la ventana?

The formula for calculating the width of the window is

Step-by-step explanation:

The question in English is

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

we have

so

simplify

isolate the variable l

----> equation A

The area of the window is equal to

we have

so

----> equation B

substitute equation A in equation B

solve for w

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula

 --->  formula for calculating the width of the window