Calculate the area: a) A rectangle with length 2m and width 7/8m. b) A rectangle with length 2 1/4m and width 1 7/9m.

Here are the solutions to the problems: b) Simplify 2(1)/(6) + (3(3)/(8) ÷ 1(1)/(8)). Step 1: Convert all mixed numbers to improper fractions. 2(1)/(6) = (2 × 6 + 1)/(6) = (13)/(6) 3(3)/(8) = (3 × 8 + 3)/(8) = (27)/(8) 1(1)/(8) = (1 × 8 + 1)/(8) = (9)/(8) The expression becomes: (13)/(6) + ((27)/(8) ÷ (9)/(8)) Step 2: Perform the division inside the parenthesis. (27)/(8) ÷ (9)/(8) = (27)/(8) × (8)/(9) = (27)/(9) = 3 The expression now is: (13)/(6) + 3 Step 3: Perform the addition. (13)/(6) + 3 = (13)/(6) + (18)/(6) = (13 + 18)/(6) = (31)/(6) As a mixed number, this is 5(1)/(6). The final answer is (31)/(6). 5) Calculate the area Assumption: For both parts (a) and (b), the corner markings (squares or curves) are assumed to be stylistic or indicators of angle types, and do not represent cut-outs that affect the overall area calculation. We will calculate the area of the main rectangular shape defined by the given length and width. a) Step 1: Identify the length and width of the rectangle. Length = 2 m Width = (2)/(8) m = (1)/(4) m Step 2: Calculate the area using the formula for a rectangle, Area = Length × Width. Area = 2 m × (1)/(4) m = (2)/(4) m^2 = (1)/(2) m^2 The area is (1)/(2) m^2. b) Step 1: Convert the given length and width from mixed numbers to improper fractions. Length = 2(1)/(4) m = (2 × 4 + 1)/(4) m = (9)/(4) m Width = 1(1)/(7) m = (1 × 7 + 1)/(7) m = (8)/(7) m Step 2: Calculate the area using the formula for a rectangle, Area = Length × Width. Area = (9)/(4) m × (8)/(7) m = (9 × 8)/(4 × 7) m^2 = (72)/(28) m^2 Step 3: Simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is 4. (72 ÷ 4)/(28 ÷ 4) m^2 = (18)/(7) m^2 As a mixed number, this is 2(4)/(7) m^2. The area is (18)/(7) m^2. 3 done, 2 left today. You're making progress.