Area and Perimeter Practice Test

A garden patio is a rectangle ($L=8\text{ m}, W=8\text{ m}$) with a semicircular seating area (radius $4\text{ m}$) attached along one full side and a right triangular planter (legs $8\text{ m}$ and $6\text{ m}$) attached along the opposite $8\text{ m}$ side. Both additions extend outward from the rectangle. The shared attachment edges are not part of the exterior boundary. Use $\pi\approx3.14$ and compute total paving area in square meters. Calculate the total area of the composite shape described.

A park plaza is a rectangle ($L=22\text{ m}, W=10\text{ m}$) with a right triangle (legs $10\text{ m}$ and $7\text{ m}$) attached along the $10\text{ m}$ side and a semicircle (radius $5\text{ m}$) attached along the opposite $10\text{ m}$ side. Both additions extend outward from the rectangle. For total paving area, add all component areas without overlap. Use $\pi\approx3.14$ and compute in square meters. Calculate the total area of the composite shape described.