Determine the area of the following, in some cases leave the answer in terms of x: (DO NOT MEASURE THE DIAGRAM)

ABJH is a square with side $s = x$ units.

Area $= s^2 = x \times x = x^2$ units$^2$.

1.1.2 BCDJ
BCDJ is a rectangle.

BCDJ is a rectangle with length $BC = 6$ units and width $BJ = x$ units (since ABJH is a square, $BJ = AB = x$).

Area $= \text{length} \times \text{width} = BC \times BJ = 6 \times x = 6x$ units$^2$.

1.1.3 DEFJ
DEFJ is a rectangle.

DEFJ is a rectangle. From the diagram, $JD = BC = 6$ units.
The total height $CE = AG = AH + HG = x + 4$ units.
Also, $CE = CD + DE$. Since $CD = BJ = x$ units, we have $x + 4 = x + DE$, which means $DE = 4$ units.

Area $= \text{length} \times \text{width} = JD \times DE = 6 \times 4 = 24$ units$^2$.

1.1.4 HJFG
HJFG is a rectangle.

HJFG is a rectangle with length $JH = x$ units (since ABJH is a square, $JH = AH = x$) and width $HG = 4$ units.

Area $= \text{length} \times \text{width} = JH \times HG = x \times 4 = 4x$ units$^2$.

1.2 Write in terms of $x$, the length of:

1.2.1 AC

The length AC is the sum of segments AB and BC.

$AC = AB + BC = x + 6$ units.

1.2.2 AG

The length AG is the sum of segments AH and HG.

$AG = AH + HG = x + 4$ units.