In the diagram, WXYZ is a square of length 7 cm. Calculate, correct to three significant figures, the area of the shaded region. [Take pi = 22/7]

Here's the solution for question 1: 1. a) Determine the quantity of fuel consumed. Step 1: Calculate the time taken to cover the distance. Given: Speed = 850 km/h, Distance = 3,400 km. Time = DistanceSpeed Time = 3,400 km850 km/h Time = 4 hours Step 2: Calculate the total fuel consumed. Given: Fuel consumption rate = 5,000 litres/hour. Fuel consumed = Fuel consumption rate × Time Fuel consumed = 5,000 litres/hour × 4 hours Fuel consumed = 20,000 litres The quantity of fuel consumed is 20,000 litres. 1. b) Find the average speed required to reduce the fuel consumption by 10%. Step 1: Determine the new fuel consumption rate. Original fuel consumption rate = 5,000 litres/hour. Reduction by 10% means the new consumption is 100\% - 10\% = 90\% of the original. New fuel consumption rate = 0.90 × 5,000 litres/hour New fuel consumption rate = 4,500 litres/hour Step 2: Use the proportionality between fuel consumption and speed to find the new speed. Let F_1 be the original fuel consumption rate and S_1 be the original speed. Let F_2 be the new fuel consumption rate and S_2 be the new speed. Since fuel consumption is proportional to speed: (F_1)/(S_1) = (F_2)/(S_2) 5,000 litres/hour850 km/h = 4,500 litres/hourS_2 Step 3: Solve for S_2. S_2 = 4,500 litres/hour × 850 km/h5,000 litres/hour S_2 = (4,500 × 850)/(5,000) km/h S_2 = (9 × 850)/(10) km/h S_2 = 9 × 85 km/h S_2 = 765 km/h The average speed required is 765 km/h. Last free one today — make it count tomorrow, or type /upgrade for unlimited.