Un apartaestudio de forma cuadrada mide 2x+3y de lado como se muestra en la figura 2.24

Cual es el área total del apartaestudio?

4x^2+12x+9y^2

Step-by-step explanation:

the area of a square = L^2

L = Side

in this case L = 2x+3y

the area of a square = (2x+3y) ^2 = (2x+3y) * (2x+3y)

we apply distributive property:

(2x+3y) * (2x+3y) = 2x*2x+2x*3y+3y*2x+3y*3y

(2x+3y) * (2x+3y) = 4x^2+6xy+6xy+9y^2

finally we have:

(2x+3y) * (2x+3y) = 4x^2+12xy+9y^2

the area of a square = 4x^2+12xy+9y^2