the following figure is a rectangle made up of two smaller rectangles. (a) find the area of the following…

the following figure is a rectangle made up of two smaller rectangles. (a) find the area of the following (in square units). the light rectangle (on the top): the dark rectangle (on the bottom): (b) give the area of the entire figure (in square units) in two different ways. as a sum of two areas: as a product of the length and width:

the following figure is a rectangle made up of two smaller rectangles. (a) find the area of the following (in square units). the light rectangle (on the top): the dark rectangle (on the bottom): (b) give the area of the entire figure (in square units) in two different ways. as a sum of two areas: as a product of the length and width:

Answer

Explanation:

Step1: Encontrar el área del rectángulo claro

El área de un rectángulo se calcula como $A = l\times w$. Para el rectángulo claro, $l = 8$ y $w = 3$. $A_{claro}=8\times3 = 24$

Step2: Encontrar el área del rectángulo oscuro

Para el rectángulo oscuro, $l = x$ y $w = 3$. $A_{oscuro}=3x$

Step3: Encontrar el área total como suma

Sumamos las áreas de los dos rectángulos. $A_{total - suma}=A_{claro}+A_{oscuro}=24 + 3x$

Step4: Encontrar el área total como producto

La longitud total del rectángulo grande es $8 + x$ y el ancho es 3. $A_{total - producto}=3\times(8 + x)=24+3x$

Answer:

(a) The light rectangle (on the top): 24 The dark rectangle (on the bottom): $3x$ (b) As a sum of two areas: $24 + 3x$ As a product of the length and width: $3(8 + x)$