Question

(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:

Explanation:

Step1: Calculate top rectangle area

Area = length × width = $4 \times x = 4x$

Step2: Calculate bottom rectangle area

Area = length × width = $4 \times 7 = 28$

Step3: Sum of two areas

Total area = $4x + 28$

Step4: Product of total length and width

Total length = $x + 7$, width = 4. Area = $4(x + 7)$

Answer:

(a) The light rectangle: $4x$
The dark rectangle: $28$
(b) As a sum: $4x + 28$
As a product: $4(x + 7)$