Question

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:

Explanation:

Step1: Calculate top rectangle area

Area = length × width = $3 \times 8 = 24$

Step2: Calculate bottom rectangle area

Area = length × width = $3 \times x = 3x$

Step3: Sum the two areas

Total area = $24 + 3x$

Step4: Factor for second total area

Factor out 3: $3(8 + x)$

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 factored single area: $3(8 + x)$