Determine the area of ACEG in the simplest possible form. Expand the product of (x+6)(x+4) and find the product of (x+8)(x+5)

Area of ACEG = Area of ABJH + Area of BCDJ + Area of HJFG + Area of DEFJ.

Area of ABJH $= x^2$
Area of BCDJ $= 6x$
Area of HJFG $= 4x$
Area of DEFJ $= 24$

1.4 Using your answer in 1.2 and 1.3 find the area of ACEG in the form $ax^2 + bx + c =$

$AC = x+6$
$AG = x+4$

1.5 $(x+6)(x+4)=$

2.1 Use the method you discovered in question 1 to determine the product of $(x+8)(x+5)$

2.1.1 Area of KLQR =

Length $KL = x$, Width $KQ = x$.

Area of KLQR $= KL \times KQ = x \times x = \boxed{x^2}$

2.1.2 Area of LMPQ =

Length $LM = 8$, Width $LP = KQ = x$.

Area of LMPQ $= LM \times LP = 8 \times x = \boxed{8x}$

2.1.3 Area of RQTS =

Length $RQ = KL = x$, Width $RS = 5$.

Area of RQTS $= RQ \times RS = x \times 5 = \boxed{5x}$

2.1.4 Area of QPTU =

Length $QP = LM = 8$, Width $QT = RS = 5$.

Area of QPTU $= QP \times QT = 8 \times 5 = \boxed{40}$

2.1.5 $(x+8)(x+5)=$