Final answer:
The expressions for the perimeter and area of the given rectangles are 16w + 6 cm and 24w cm² for rectangle (a), and (5/4)y + 18x cm and (45/8)yx cm² for rectangle (b), respectively.
Step-by-step explanation:
The student has asked two separate questions about finding the perimeter and area of rectangles given their dimensions. For rectangle (a), with dimensions 8w cm and 3 cm, the perimeter is calculated by adding the lengths of all sides (P = 2l + 2w, so P = 2(8w) + 2(3) = 16w + 6 cm), and the area is calculated by multiplying the length by the width (A = lw, so A = (8w)(3) = 24w cm²). For rectangle (b), with dimensions (5/8)y cm and 9x cm, the perimeter is (P = 2l + 2w, so P = 2((5/8)y) + 2(9x) = (5/4)y + 18x cm), and the area is (A = lw, so A = ((5/8)y)(9x) = (45/8)yx cm²).
Converting these expressions to simplified forms can sometimes involve combining like terms or reducing fractions, but in these cases, the expressions are already in their simplest form.