Landscape Maths: Overlapping Turf Repairs and Excluded Beds

Landscape Maths: Overlapping Turf Repairs and Excluded Beds

Original quantitative topic practice in English. All 24 questions are included in a shuffled order. Each question supplies its own data and model assumptions; use only those assumptions. Choose one answer. Practice target: 20/24, not an official examination pass mark. Keep full intermediate precision. These exercises cover the calculation scope in the title; they do not constitute a full Red Seal examination, trade qualification, site design or operating specification.
1 of 24
Two rectangular turf repair patches overlap. Patch A is 10×5 m, patch B is 8×4 m, and their rectangular overlap is 3×2 m. An existing bed of 6 m² lies entirely inside the combined patch and is not returfed. Count the overlap once. Add 10% reserve to the net repair area, then buy whole rolls covering 1.5 m² each. Offcuts may be reused without other layout losses in this area-estimating model. Calculate the area of patch A in square metres. Keep intermediate values unrounded; round the final answer to 4 decimal places if needed.