Ramón compró un terreno rectangular para contruir su casa. Las medidad del terreno muestran en la imagen siguiente. Escibe una expresión matemática qu

smileycellist2 2021-02-12 Answered

Ramón compró un terreno rectangular para contruir su casa. Las medidad del terreno muestran en la imagen siguiente.
Escibe una expresión matemática que represente el área del rectángulo mostra en la imagen. Si el terreno tiene un área A =18m2, escribe una expresión matemática que o describa la situación planteada. Analiza la expresión que escribiste.
a. Qué diferencia encuantras entre esta expresión respecto a las que estudias en la primera lección del bloque 1?
b. Cómo resolverías esta ecuación?

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Expert Answer

Bentley Leach
Answered 2021-02-13 Author has 109 answers

From the figure, the rectangular land has a length of l=x and width of w=x+3. The area of a rectangle is A=lw. Therefore, the expression that represents the area of the rectangular land is A=x(x+3).
If the area if A=18 m2, then 18=x(x+3).
a. I don't know what type of expressions you studied in the first lesson since I don't have your textbook so I cannot answer this question.
b. To solve this equation, use the following steps:
x(x+3)=18
x2+3x=18
x2+3x18=0
(x+6)(x3)=0
x+6=0x3=0
x=6 x=3
Since the length of the rectangle must be positive, then x=6.

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