Question

(a) find the area of the following (in square units). the dark rectangle (on the top): the light 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:

Explanation:

Step1: Área del rectángulo oscuro

Usar fórmula área = base × altura. Base = 7, altura = 2.
$7\times2=14$

Step2: Área del rectángulo claro

Usar fórmula área = base × altura. Base = 7, altura = x.
$7\times x = 7x$

Step3: Área total como suma

Sumar áreas de los dos rectángulos.
$14+7x$

Step4: Área total como producto

La longitud total es 7, el ancho total es (2 + x).
$7(2 + x)$

Answer:

(a)
The dark rectangle (on the top): 14
The light rectangle (on the bottom): 7x
(b)
As a sum of two areas: 14 + 7x
As a product of the length and width: 7(2 + x)